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-2 Relation. endobj Functions and Relations Worksheets (Bundle) by Algebra Funsheets 5.0 (26) $14.99 $7.95 Bundle This bundle contains 9 worksheets on Functions.Worksheet 1: Finding domain and range from graphsStandard. Given the graph of \(h\), find \(x\) where \(h(x)=-4\). 7. f(x) = x 8. h(x) = x + 7 9. g(x) = x - 2 10. g(x) = 3x 11. stream /F7 7 0 R (a) True (b) False (c) True (d) True (e) False, 9. startxref Evaluate the inverse and also rule out whether the same is a function or not. Solving math equations can be challenging, but it's also a great way to improve your problem-solving skills. >> xULF] 3The vertical number line used as reference in a rectangular coordinate system. The monthly income in dollars of a commissioned car salesperson is given by the function \(I(n) = 350n + 1,450\) where \(n\) represents the number of cars sold in the month. We can also recognize functions as relations where no \(x\)-values are repeated. Section 5.2 Defining Relations and Functions. Given the graph of \(g\), find \(x\) where \(g(x)=2\). 14A relation where each element in the domain corresponds to exactly one element in the range. stream These worksheets cover all the essential concepts related to functions, including domain and range, linear versus nonlinear, graphing stories, and much more. Check to see if any of the x values are repeated to distinguish a function from a relation; if they are not, itis a function. Explain to a beginning algebra student what the vertical line test is and why it works. Ans. So, this relation is a function as well. In the context of algebra, the relations of interest are sets of ordered pairs \((x, y)\) in the rectangular coordinate plane. Given the graph of a function \(g\), find the \(x\)-values: 2. 12 0 obj .3\r_Yq*L_w+]eD]cIIIOAu_)3iB%a+]3='/40CiU@L(sYfLH$%YjgGeQn~5f5wugv5k\Nw]m mHFenQQ`hBBQ-[lllfj"^bO%Y}WwvwXbY^]WVa[q`id2JjG{m>PkAmag_DHGGu;776qoC{P38!9-?|gK9w~B:Wt>^rUg9];}}_~imp}]/}.{^=}^?z8hc' Some filters moved to Formats filters, which is at the top of the page. 11 0 obj 4.2 Relations and Functions A function is a relation in . The value of a certain automobile in dollars depends on the number of years since it was purchased in \(1970\) according to the following function: 11. Identify the input values. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. You can also use mathematical representation for actual scenarios. /Creator () 3. These two number lines define a flat surface called a plane4, and each point on this plane is associated with an ordered pair5 of real numbers \((x, y)\). We can visually display any relation of this type on a coordinate plane by plotting the points. What is Meant by Well-defined and Undefined Function? Range = {4, 16, 25, 36} and Domain = {-2, 2, 4, 5, 6}, 10. ID: 1480139 Language: English School subject: Math Grade/level: 10 Age: 14-16 Main content: Functions Other contents: Add to my workbooks (78) Download file pdf Embed in my website or blog Add to Google Classroom 9`VM#*Lg~72|wr"gC n@KGlsOfwKa%u?/qGmn>_ew}[IVUIh1}=uc8OX)L2hu,mw(r4>j>")]t .# +2Lq&=|MSL/bV RSsG{r~9fkS{\iy,J'LJaatyt For relations consisting of points in the plane, the range is the set of all \(y\)-values. Students will be given 20 different relations (graphs, mapping diagrams, tables, ordered pairs) and will need to classify it as a function or a non-function. endstream endobj 35 0 obj <>stream %PDF-1.5 Therefore, \(x = |y| + 1\) does not define a function. The domain of the graph of \(x=|y|+1\) consists of all x-values greater than or equal to \(1, [1,)\), and the range consists of all real numbers, \(=(,)\). Analyzing Relations and Functions KEY. Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter? Domain: \((, 1]\); range: \(\); function: no, 17. Unfortunately, in the last year, adblock has now begun disabling almost all images from loading on our site, which has lead to mathwarehouse becoming unusable for adlbock users. Domain: \(\{2\}\); range: \(\{4, 2, 0, 2, 4\}\); function: no, 13. Great resource to use as homework or independent work.Answer Key provided.You may also be interested in these Functions resources:Evaluating Functions Coloring ActivityIdentifying Functions Review WorksheetIdentifying Functions Card Sort ActivityFunctions: Multiple Representations Matching A, This is a one-sided fill-in-the-blank notes page on differentiating between a function and a relation, exploring the 5 types of functions/relations, and then finding the domain and range of each. Functions And Relations Worksheet Answer Key - A well-developed Characteristics Worksheet with Solutions will offer individuals with strategies to a number of important queries about https://www.functionworksheets.com/tag/worksheet-4-1-relations-and-functions-answer-key/ Relations And Functions Worksheet Answers - Qstion.co Conduct an Internet search for the vertical line test, functions, and evaluating functions. stream Share a link to a page that you think others may find useful. 6. Worksheet 4.2 relations and functions answer key - Apps can be a great way to help students with their algebra. Given a function rule, students will complete a table of values or given a table of values, students will find the function rule.Worksheet 4: Function rules and table of values 2Riddle. \(\{ ( 3,1 ) , ( 5,2 ) , ( 7,3 ) , ( 9,4 ) , ( 12,4 ) \}\), \(\{ ( 2,0 ) , ( 4,3 ) , ( 6,6 ) , ( 8,6 ) , ( 10,9 ) \}\), \(\{ ( 7,5 ) , ( 8,6 ) , ( 10,7 ) , ( 10,8 ) , ( 15,9 ) \}\), \(\{ ( 1,1 ) , ( 2,1 ) , ( 3,1 ) , ( 4,1 ) , ( 5,1 ) \}\), \(\{ ( 5,0 ) , ( 5,2 ) , ( 5,4 ) , ( 5,6 ) , ( 5,8 ) \}\), \(\{ ( - 3,1 ) , ( - 2,2 ) , ( - 1,3 ) , ( 0,4 ) , ( 0,5 ) \}\), \(g ( x ) = | x - 5 | \text { find } g ( - 5 ) , g ( 0 ) , \text { and } g ( 5 )\), \(g ( x ) = | x | - 5 ; \text { find } g ( - 5 ) , g ( 0 ) , \text { and } g ( 5 )\), \(g ( x ) = | 2 x - 3 | ; \text { find } g ( - 1 ) , g ( 0 ) , \text { and } g \left( \frac { 3 } { 2 } \right)\), \(g ( x ) = 3 - | 2 x | ; \text { find } g ( - 3 ) , g ( 0 ) , \text { and } g ( 3 )\), \(f ( x ) = 2 x - 3 ; \text { find } f ( - 2 ) , f ( 0 ) , \text { and } f ( x - 3 )\), \(f ( x ) = 5 x - 1 ; \text { find } f ( - 2 ) , f ( 0 ) , \text { and } f ( x + 1 )\), \(g ( x ) = \frac { 2 } { 3 } x + 1 ; \text { find } g ( - 3 ) , g ( 0 ) , \text { and } f ( 9 x + 6 )\), \(g ( x ) = - \frac { 3 } { 4 } x - \frac { 1 } { 2 } ; \text { find } g ( - 4 ) , g ( 0 ) , \text { and } g ( 6 x - 2 )\), \(g ( x ) = x ^ { 2 } ; \text { find } g ( - 5 ) , g ( \sqrt { 3 } ) , \text { and } g ( x - 5 )\), \(g ( x ) = x ^ { 2 } + 1 ; \text { find } g ( - 1 ) , g ( \sqrt { 6 } ) , \text { and } g ( 2 x - 1 )\), \(f ( x ) = x ^ { 2 } - x - 2 ; \text { find } f ( 0 ) , f ( 2 ) , \text { and } f ( x + 2 )\), \(f ( x ) = - 2 x ^ { 2 } + x - 4 ; \text { find } f ( - 2 ) , f \left( \frac { 1 } { 2 } \right) , \text { and } f ( x - 3 )\), \(h ( t ) = - 16 t ^ { 2 } + 32 ; \text { find } h \left( \frac { 1 } { 4 } \right) , h \left( \frac { 1 } { 2 } \right) , \text { and } h ( 2 a - 1 )\), \(h ( t ) = - 16 t ^ { 2 } + 32 ; \text { find } h ( 0 ) , h ( \sqrt { 2 } ) , h ( 2 a + 1 )\), \(f ( x ) = \sqrt { x + 1 } - 2 \text { find } f ( - 1 ) , f ( 0 ) , f ( x - 1 )\), \(f ( x ) = \sqrt { x - 3 } + 1 ; \text { find } f ( 12 ) , f ( 3 ) , f ( x + 3 )\), \(g ( x ) = \sqrt { x + 8 } ; \text { find } g ( 0 ) , g ( - 8 ) , \text { and } g ( x - 8 )\), \(g ( x ) = \sqrt { 3 x - 1 } ; \text { find } g \left( \frac { 1 } { 3 } \right) , g \left( \frac { 5 } { 3 } \right) , \text { and } g \left( \frac { 1 } { 3 } a ^ { 2 } + \frac { 1 } { 3 } \right)\), \(f ( x ) = x ^ { 3 } + 1 ; \text { find } f ( - 1 ) , f ( 0 ) , f \left( a ^ { 2 } \right)\), \(f ( x ) = x ^ { 3 } - 8 ; \text { find } f ( 2 ) , f ( 0 ) , f \left( a ^ { 3 } \right)\), \(f ( x ) = 2 x - 3 ; \text { find } x \text { where } f ( x ) = 25\), \(f ( x ) = 7 - 3 x ; \text { find } x \text { where } f ( x ) = - 27\), \(f ( x ) = 2 x + 5 ; \text { find } x \text { where } f ( x ) = 0\), \(f ( x ) = - 2 x + 1 ; \text { find } x \text { where } f ( x ) = 0\), \(g ( x ) = 6 x + 2 ; \text { find } x \text { where } g ( x ) = 5\), \(g ( x ) = 4 x + 5 ; \text { find } x \text { where } g ( x ) = 2\), \(h ( x ) = \frac { 2 } { 3 } x - \frac { 1 } { 2 } ; \text { find } x \text { where } h ( x ) = \frac { 1 } { 6 }\), \(h ( x ) = \frac { 5 } { 4 } x + \frac { 1 } { 3 } ; \text { find } x \text { where } h ( x ) = \frac { 1 } { 2 }\). 12. This is a relation because if you enter a specific age and check all the persons of that age, you will find that they all have various heights. \(f ( - 1 ) = 0 , f ( 0 ) = 1 , f \left( a ^ { 2 } \right) = a ^ { 6 } + 1\), 3. Find \(f (2), f (2)\), and \(f (7)\). 4. The Vertical Line Test: Given the graph of a relation, if a vertical line can be drawn that crosses the graph in more than one place, then the relation is not a function. Find \(x\) where \(g (x) = 0, g (x) = 1\), and \(g (x) = 4\). Graph the given set of points, then answer the questions that follow. As we have seen, functions are also expressed using graphs. (d) P = (1, 2, 3} and Q = {e, f}. <> 4The flat surface defined by \(x\)- and \(y\)-axes. (b) {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)} is not a function. Range: Function: o 2 t 3 3 (3, 3) -2) Relation . Title: Infinite Algebra 1 - Continuous Relations Created Date: Mathematics is a way of dealing with tasks that involves numbers and equations. Domain: \(\{ 7,8,10,15 \}\); range: \(\{ 5,6,7,8,9 \}\); function: no, 5. <> The students look at graphs containing dots and decide rather or not the dots form a linear or nonlinear relationship. If asked to find \(f(a)\), we substitute the argument \(a\) in for the variable and then simplify. Want to buy them separately?Functions and Linear Equations Assessment (15 Questions)Functions and Linear Equations Worksheet (26 Questions)TOPICS BY QUESTION NUMBER:Questions 1-11: Tell whether the relation is a function from a table, graph, or input o, Students will identify functions in 20 YES/NO format problems with multiple representations of function relations: tables, mapping diagrams, graphs and ordered pairs.ANSWER KEY provided.You may also be interested in these Functions resources:Evaluating Functions Coloring ActivityIdentifying Functions Review WorksheetIdentifying Functions Card Sort ActivityFunctions: Multiple Representations Matching ActivityIdentifying Functions PracticeFunction Notation (Task Cards)Functions: Multiple Represent, In this activity, students will determine if relations are functions as they tap into their creative side! This relations functions worksheet may act as a last-minute tool to revise the function and relation problems before your exams. Domain: \((, 0]\); range: \([1, )\); function: yes, 19. The ordered pair \((x, y)\) represents the position of points relative to the origin. They will fill the appropriate box with fun patterns, drawings, and creative ideas! Find \(x\) where \(g (x) = 4, g (x) = 3\), and \(g (x) = 4\). These math worksheets on introducing functions are exactly what you need. 1. In this case, we interpret \(f(5) = 3\) as follows: Function notation streamlines the task of evaluating. There are 9 questions total.The first 3 questions give the student a mapping, a table and a set of ordered pairs and ask them to determine if the relations are functions or not and to find the domain and range of each. 13. 2. Plus each one comes with an answer key. 3. Given the linear function defined by \(f(x)=2x-5\), simplify the following. This is a multiple choice worksheet where students look at 20 different sets of relationships and decide yes or no rather the relationships are a function. Find \(f (4), f (0)\), and \(f (2)\).\. A vertical line can cross the graph of \(x=|y|+1\) more than once; therefore, it is not a function. Set P = {-2,0,2} and the remaining elements are {(-2,-2), (-2,2), (0,-2), (0,0), (2,-2), (2,0), (2,2)}. endobj This has been SO helpful when im stuck on problems that i just can't understand. %S%m7$3g3: $ Ymk XvH3a, @~^6=Xfw5q@S3JQFLf4 yyE j|8 ] pq Ha L8DCsK4rqf.,jnghC-S_Jh. Explain. Then they share a relationship and can be written as an ordered pair (x, y). /Annots 14 0 R <> << Then the student identifies the domain and range of each example. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 2. . Domain: \([5, 1]\); range: \([2, 2]\); function: no, 25. Given any function defined by \(h(x) = y\), the value \(x\) is called the argument of the function17. >> This is a relations and functions worksheet. The set of \(x\)-values defines the domain and the set of \(y\)-values defines the range. Hi This app,i want said that the app was good ,not good, but excellent choice but i want to said your bad side that improve your app i was so impressed this app but you can't solve this equation but i would like to tell that pls can u erase purchase cause everyone us need to now how to solve it. 5. P x P is a Cartesian product having nine elements. /Font << endstream 4. PERIOD. Find the value of x that will make this relation a function. How to Determine Whether a Given Relation is a Function or Not? Make use of this worksheet to get a better understandingof relations and functions. Domain. Domain: \([8, 8]\); range: \([3, 3]\); function: no, 33. Relations and Functions Worksheet Answer Key 1. /MediaBox [0 0 612.000000 792.000000] This is because humans get taller throughout time and then stagnate for a period. Function: Domain: 10 Range: Function. If f (x) = 2x 3, then find [f (0) + (f)] / 2 and value of x when (a) f(x) = 0 (b) f(x)= x and f(x) = f(1-x). . NhSIS+:|2q^>l$ia}^nCLW:'HdfJ)A3X3&X E6S2)212 "l+&Y4P%\%g|eTI (L 0_&l2E 9r9h xgIbifSb1+MxL0oE%YmhYh~S=zU&AYl/ $ZU m@O l^'lsk.+7o9V;?#I3eEKDd9i,UQ h6'~khu_ }9PIo= C#$n?z}[1 8. If you wish to get more such worksheets of other maths chapters, please make sure to download the Vedantu app today! Domain: \([1,5]\); range: \([3,3]\); function: no. 12 graphs.Worksheet 2: Finding range given domainRiddle. Set Up. 12. D 25. Find \(f (3), f (0)\), and \(f (3)\). )feOJeB_~n \(\begin{array} { c } { h ( \color{Cerulean}{- 2}\color{Black}{ )} = \frac { 1 } { 2 } ( \color{Cerulean}{- 2}\color{Black}{ )} - 3 = - 1 - 3 = - 4 } \\ { h ( \color{Cerulean}{0}\color{Black}{ )} = \frac { 1 } { 2 } ( \color{Cerulean}{0}\color{Black}{ )} - 3 = 0 - 3 = - 3 } \\ { h ( \color{Cerulean}{7}\color{Black}{ )} = \frac { 1 } { 2 } ( \color{Cerulean}{7}\color{Black}{ )} - 3 = \frac { 7 } { 2 } - 3 = \frac { 1 } { 2 } } \end{array}\). /CA 1.0 10 0 obj (When solving an equation for y in terms of x, if two or more values of y can be obtained for a given x, then the equation is NOT a function. Consider the relations consisting of the seven ordered pair solutions to \(y = |x| 2 \)and \(x = |y| + 1\). 11) f (x) x x y 12) f(x) x x y 13) g(x) x x y 14) g(n) n x y Critical thinking questions: 15) Give an example of a function that doesn't have an inverse. Simplify \(\frac { g ( x + h ) - g ( x ) } { h }\) given \(g ( x ) = m x + b\). 6 . This product contains a worksheet and an assessment. Consider an aeroplane moving at a velocity of 500 km per hour. So helpful with my homework. x y3 -4-52-7 -4-5 7A function is a relation in which each input has exactly one outputThe domain of the function is the set of all input values. Domain: \(\); range: \((, 3]\); function: yes, 21. 2The horizontal number line used as reference in a rectangular coordinate system. 6. This is a relations and functions worksheet. The students will crea, In this concept-building, evaluating and identifying functions discovery worksheet, students will be able to evaluate functions for specific values; represent relations as a set of ordered pairs, table, graph, and mapping; and identify functions versus relations. If this doesn't solve the problem, visit our Support Center . Also included in:Relations and Functions Unit (Algebra 1 Unit 3), Also included in:BACK TO SCHOOL | ALGEBRA 1 FUNCTIONS Bundle, Also included in:Algebra 1 Create and Color Bundle 1, Also included in:8th Grade Math Curriculum Mega Bundle, Also included in:Algebra 1 Skills Practice Worksheets Bundle, Also included in:Quadratic Functions Bundle for Algebra 1, Also included in:Functions Unit Bundle - Algebra 1 Curriculum, Also included in:Preschool Math Lesson Plan Bundle, Also included in:Algebra 1 Google Forms Semester 1 Digital Homework and Assessment Bundle. Let's try the best Worksheet 4.2 relations and functions answer key. /ColorSpace << x ! Expression to convert Fahrenheit to Celsius is y = (5x/9) (160/9). 1. >> Now includes an additional version that uses "y=" notation instead of "f(x)=" notation.This product is part of the Discovery-Based Worksheet Series. endobj [ ] 0 Worksheet 4.1 relations and functions answer key. 3. f-1 (x) = (9x/5) + 32 and the inverse is a function also. (5, 4), (8, -1), (7, 3), (0, 5), (10, -2), and __________ /SA true 2. endobj /Contents 11 0 R The previous example, where \(g (x) = x^{2}\), illustrates this nicely, \(\begin{array} { l } { g ( x + h ) \neq g ( x ) + g ( h ) } \\ { ( x + h ) ^ { 2 } \neq x ^ { 2 } + h ^ { 2 } } \end{array}\). Using the vertical line test, determine if the graph above shows a relation, a function, both a relation and a. /F9 9 0 R 0000006193 00000 n This system is often called the Cartesian coordinate system8, named after the French mathematician Ren Descartes (15961650). It is a function since no two ordered pairs have the same domain or x-value. \(\begin{array} { c } { f ( x ) = 5 x + 7 }\\\color{Cerulean}{\downarrow}\quad\quad\quad\:\:\: \\ { 27 = 5 x + 7 } \\ { 20 = 5 x } \\ { 4 = x } \end{array}\). In this case, we interpret f( 5) = 3 as follows: Figure 2.1.17 13 0 obj As we can see, any vertical line will intersect the graph of \(y=|x|2\) only once; therefore, it is a function. ' Zk! $l$T4QOt"y\b)AI&NI$R$)TIj"]&=&!:dGrY@^O$ _%?P(&OJEBN9J@y@yCR nXZOD}J}/G3k{%Ow_.'_!JQ@SVF=IEbbbb5Q%O@%!ByM:e0G7 e%e[(R0`3R46i^)*n*|"fLUomO0j&jajj.w_4zj=U45n4hZZZ^0Tf%9->=cXgN]. Calculate the range for the function f (x)= (3x-2)/5, if its domain is {-6, -1, 4, 9, 19} Check whether the set of ordered pair represent the function, and state . The uploaded images may not be edited.a hard copy (workshee. <<9314568F76096D49830FE73A943AC137>]/Prev 83319>> /Title ( I n f i n i t e A l g e b r a 1 - C o n t i n u o u s R e l a t i o n s) Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. 0000001693 00000 n Determine whether this relation is a function or not, and find the values of both a and b. {(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)} is a function also. Therefore, \(f (4) = 27\). It could also be used as a worksheet for homework. xYMo6WQFH8n 1 0 obj LCM of 3 and 4, and How to Find Least Common Multiple, What is Simple Interest? 3. 10. The solutions to \(x = |y| + 1\), on the other hand, have values in the domain that correspond to two elements in the range. Use the function to determine the value of the car when it is \(4\) years old. Ans. It is perfect for, This product includes a 10-question assignment with practice over finding domain and range of relations and functions. /Producer ( Q t 5 . /PCSp 5 0 R Function. endobj If any vertical line intersects the graph more than once, then the graph does not represent a function. /AIS false Substitute \(f (x)\) with \(27\) and solve. The horizontal number line is called the x-axis2, and the vertical number line is called the y-axis3. <>>> xXnF}-p(p#YBc),Iiy[ 9^:{wqs k8trv-@, Ls?[^~{;%_&d~tfn>C8Mg*d!?M'WHiRK w A! It has so many equations and etc that it knows how to do, and has many advantages that other math apps do not. The worksheet is also editable if you would like to make any changes. We can easily determine whether or not an equation represents a function by performing the vertical line test on its graph. Yes 4. The rectangular coordinate system1 consists of two real number lines that intersect at a right angle. The first number is called the \(x\)-coordinate, and the second number is called the \(y\)-coordinate. relation is a function. Feel free to download and enjoy these free worksheets on functions and relations .Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. We guarantee that your essay will be 100% original. <> \(g (2) = 4, g (1) = 3, g (0) = 4\), 9. R is a relation {(6,4), (8,-1), (x,7), (-3,-6)}. 4.0,` 3p H.Hi@A> Equip 8th grade and high school students with this printable practice set to assist them in analyzing relations expressed as ordered pairs, mapping diagrams, input-output tables, graphs and equations to figure out which one of these relations are functions based on the pairing of the domain (x) and range (y). Given the graph of the function \(f\), find the function values. In mathematics, a student will get to study multiple kinds of functions, which are one one, many one, onto, into, polynomial, linear, identical, quadratic, rational, cubic, algebraic, modulus, signum, greatest integer, fractional part, even and odd, periodic, composite, constant, identity, etc. 0000019902 00000 n Relations and Functions tate the domain and range of each relation. Domain: \(\); range: \(\); function: yes, 29. you CAN do math! Then graph the function and its inverse. Relations and Functions Worksheet Answer Key 1. Chapter 3: Introduction to Functions and Relations. >> Questions 4-12 present students with relations in any of the given formats and ask to identify the domain, range, determine whether the relation is a function, and provide an explanation.An answer key is provided!This resource is also i, This ready to use product is a quick, fun way to have your students practice identifying functions. The relation is a function. WORKSHEET 7.4 INVERSE FUNCTIONS Inverse Relations Find the inverse for each the inverse for each relation below (put your answer on the same graph). If we consider each x-value to be the input that produces exactly one output, then we can use function notation16: The notation \(f(x)\) reads, f of x and should not be confused with multiplication. The minimum \(y\)-value represented on the graph is \(0\); thus, the range is \([0,)\). The zip file contains the worksheet in both .doc format as well as in .pdf. 7. \(g (10) = 5, g (5) = 0\) and \(g (15) = 0 , g (5) = 10\) and \(g (25) = 10\), 5. 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The vertical line represents a value in the domain, and the number of intersections with the graph represent the number of values to which it corresponds. 2. The students look at graphs containing dots and decide rather or not the dots form a linear or nonlinear relationship. Just print + go! Review. \(g ( - 5 ) = 10 , g ( 0 ) = 5 , g ( 5 ) = 0\), 3. A relation is any set of ordered pairs. Relations and Functions Worksheet (with Answer Key + PDF) October 12, 2022 by Mathematical Worksheets The relation depicts the connection between input and output. endobj Math is often viewed as a difficult and boring subject, however, with a little effort it can be easy and interesting.