Identifying Functions Worksheets 2025

<b><i>What It Is:</i></b><br>This is an 'Identifying Functions' worksheet. It presents eight different problems where students must determine if a given relation is a function. The relations are represented in various formats: mapping diagrams (problems 1 and 5), tables of values (problems 2 and 6), a set of ordered pairs (problems 3 and 8), an equation (problem 4), and a graph with points (problem 7). Students are asked to state whether each is a function and explain why.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 8-10. It covers the concept of functions, which is typically introduced in pre-algebra or algebra courses. The various representations of relations require a solid understanding of coordinate systems, ordered pairs, and the definition of a function.<br><b><i>Why Use It:</i></b><br>This worksheet reinforces the understanding of what constitutes a function. It helps students to analyze relations presented in different formats and apply the vertical line test (for graphs) or check for unique x-values (for tables and ordered pairs) to determine if a relation is a function. It also encourages students to explain their reasoning, promoting deeper understanding.<br><b><i>How to Use It:</i></b><br>Students should work through each problem individually. For each problem, they need to determine if the given relation represents a function. They should then write 'Yes' or 'No' and provide a brief explanation of their reasoning. For example, they might say 'No, because the x-value 2 is paired with two different y-values' or 'Yes, because each x-value has only one corresponding y-value.'<br><b><i>Target Users:</i></b><br>This worksheet is designed for students who are learning about functions in a pre-algebra, algebra, or introductory calculus course. It can be used as a classroom activity, homework assignment, or review exercise. It's also helpful for students who need extra practice in identifying functions from different representations.

Your students need to state whether each graph represents a function.

<b><i>What It Is:</i></b><br>This is a functions worksheet. It presents six different graphs on coordinate planes. For each graph, the student is asked to determine if it represents a function, and then to determine the domain and range of the graph. The worksheet is labeled 'Extended Algebra 1'.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for high school students, specifically grades 9-10, studying Algebra 1 or introductory precalculus. The concepts of functions, domain, and range are typically introduced at this level.<br><b><i>Why Use It:</i></b><br>This worksheet helps students practice identifying functions graphically using the vertical line test. It also reinforces their understanding of domain and range, requiring them to visually analyze graphs and determine the set of possible input and output values.<br><b><i>How to Use It:</i></b><br>Students should examine each graph individually. First, they need to determine if the graph represents a function. Then, they should identify the domain by looking at the x-values that the graph covers and the range by looking at the y-values. Answers should be written in the spaces provided.<br><b><i>Target Users:</i></b><br>This worksheet is designed for students learning about functions, domain, and range in an Algebra 1 or precalculus course. It's also suitable for students who need extra practice with graphical analysis and function identification.

<b><i>What It Is:</i></b><br>This is a math worksheet titled 'Identifying Functions | Graphs'. The worksheet presents nine different graphs on coordinate planes. The task is to determine whether each graph represents a function and write the answer on the line provided below each graph.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 8-10, particularly for students learning about functions and their graphical representations in algebra or pre-calculus courses. It requires an understanding of the vertical line test to determine if a graph represents a function.<br><b><i>Why Use It:</i></b><br>This worksheet reinforces the concept of functions and their graphical representation. It provides practice in applying the vertical line test to visually determine whether a relation is a function. It also helps students connect algebraic concepts to visual representations.<br><b><i>How to Use It:</i></b><br>Students should analyze each graph individually. They should mentally apply the vertical line test: if any vertical line intersects the graph more than once, the graph does not represent a function. Students should then write 'function' or 'not a function' on the line below each graph.<br><b><i>Target Users:</i></b><br>This worksheet is ideal for students learning about functions in algebra or pre-calculus. It is also useful for teachers looking for practice material on identifying functions from graphs. It can also be used for review or assessment purposes.

Identifying functions is not that hard! This worksheet will help you solve each of your problem!

<b><i>What It Is:</i></b><br>This is a math worksheet titled 'Identifying Functions.' The worksheet presents nine different graphs plotted on coordinate planes. The task is to determine whether each graph represents a function. There are blank lines provided below each graph for students to write their answers.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 8-10, particularly for students learning about functions in Algebra 1 or Pre-Algebra. The concept of identifying functions from graphs is a core topic in these courses.<br><b><i>Why Use It:</i></b><br>This worksheet helps students practice identifying functions visually. It reinforces the vertical line test and strengthens their understanding of the relationship between graphs and functions. It also allows for independent practice and assessment of understanding.<br><b><i>How to Use It:</i></b><br>Students should analyze each graph individually. They can use the vertical line test (imagining a vertical line moving across the graph) to determine if any vertical line intersects the graph at more than one point. If it does, the graph does not represent a function. Students then write 'function' or 'not a function' on the line provided below each graph.<br><b><i>Target Users:</i></b><br>The target users are students in middle school or high school learning about functions, particularly those in Algebra 1 or Pre-Algebra. It is also useful for students who need extra practice or review of this concept.

Identifying functions is not that hard! This worksheet will help you solve each of your problem!

Math test about addition

<b><i>What It Is:</i></b><br>This is an algebra worksheet focused on functions. The worksheet visualizes a function machine where an input (x) is processed according to the rule f(x) = 5x to produce an output. The image shows an example where the input is 6 and the output is 30, implying the function is multiplying the input by 5. There are also spaces for the student's name, teacher's name, and period.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 6-8, particularly for students being introduced to the concept of functions and algebraic expressions. The visual representation of a function machine and the simple linear function make it accessible for this age group.<br><b><i>Why Use It:</i></b><br>This worksheet helps students understand the concept of a function as a process that transforms an input into an output. It provides a visual aid that simplifies the understanding of algebraic expressions and the relationship between variables.<br><b><i>How to Use It:</i></b><br>Students should use this worksheet to understand the concept of functions. They can use it as a template to create their own function machines with different rules and input values, or to solve problems where they need to determine the output given a specific input and function.<br><b><i>Target Users:</i></b><br>This worksheet is designed for middle school students learning about algebra and functions. It can also be used by teachers as a visual aid during lessons or as a practice activity for students to reinforce their understanding of functions.

<b><i>What It Is:</i></b><br>This is a math worksheet designed to help students identify parent functions by matching their graphs with their corresponding names and equations. The worksheet presents nine different graphs plotted on coordinate planes. Above the graphs, a list of equations is provided: y = √x, y = x, y = 1/x, y = x², y = 2^x, y = |x|, y = x³, y = 3, y = sin(x), y = cos(x). Students are expected to write the name and equation of each parent function below its corresponding graph.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for high school students, specifically grades 9-12, studying Algebra II, Precalculus, or Calculus. It requires an understanding of basic function families and their graphical representations.<br><b><i>Why Use It:</i></b><br>This worksheet reinforces students' understanding of parent functions and their graphs. It helps them develop visual recognition skills and connect algebraic equations with their corresponding graphical representations. It also promotes critical thinking and problem-solving skills as students analyze the graphs and match them with the appropriate functions.<br><b><i>How to Use It:</i></b><br>Students should analyze each graph provided on the worksheet. They should then select the appropriate function name and equation from the list provided at the top of the worksheet that matches the graph. Finally, they should write the name and equation in the spaces provided below each graph.<br><b><i>Target Users:</i></b><br>This worksheet is ideal for high school students studying Algebra II, Precalculus, or Calculus. It can also be used by teachers as a classroom activity, homework assignment, or assessment tool to evaluate students' understanding of parent functions.

Identifying functions is not that hard! This worksheet will help you solve each of your problem!

<b><i>What It Is:</i></b><br>This is an educational worksheet titled 'Graphing Rational Functions Worksheet 2'. It contains problems where students are asked to find the Vertical Asymptote (VA) and Horizontal Asymptote (HA) of given rational functions. Additionally, it includes graphing exercises where students graph rational functions, determine the domain, identify VA, HA, holes, x-intercept, y-intercept, and state if the function is continuous or discontinuous. Coordinate planes are provided for graphing.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for high school students, specifically grades 11-12, or college level pre-calculus or algebra courses. The concepts of rational functions, asymptotes, intercepts, domain, and continuity are typically covered at this level.<br><b><i>Why Use It:</i></b><br>This worksheet helps students practice graphing rational functions and understanding their properties. It reinforces the concepts of vertical and horizontal asymptotes, domain, intercepts, and continuity. It encourages analytical thinking and problem-solving skills.<br><b><i>How to Use It:</i></b><br>Students should first find the vertical and horizontal asymptotes of the given rational functions. Then, for the graphing section, they should calculate the domain, vertical asymptotes, holes, x-intercept, and y-intercept of the given function. Finally, they should graph the function on the provided coordinate plane, accurately representing all identified features, and indicate whether the function is continuous or discontinuous.<br><b><i>Target Users:</i></b><br>The target users are high school students in advanced algebra, pre-calculus, or calculus courses, as well as college students in introductory algebra courses. It is also suitable for teachers looking for practice problems for their students.