Is It a Function Worksheet | Relations and Graphs Practice with Answer Key

Is it a function worksheet for relations and graphs

This is it a function worksheet is a 12 page packet with 80 questions on telling functions from relations. The worksheet is marked for grades 8 to 11.

Students look at ordered pairs, tables, equations and mapping diagrams, then at graphs and the vertical line test, and decide if each one is a function.

Teachers who need function practice for an algebra unit will find four sections of 20 questions here, and the functions worksheet with answer key explains every classification.

What’s on the pages

The worksheet has four sections, and each one has its own heading and directions.

• Identifying functions from ordered pairs and tables: 20 questions, such as the relation {(5, -5), (5, -4), (5, -3)}, where the same input has three outputs.
• Identifying functions from equations and mappings: 20 questions, such as y = x^3, y = x + 10 and a mapping diagram where the input 4 points to both 2 and -2.
• Function concepts and graphs: 20 true or false statements, such as that a parabola opening to the right is a function and that the independent variable is the letter x.
• Word Bank, function terminology: 20 fill in the blank questions, such as the word for finding the output for an input, and the name of the line used in the test for a graph.

Many of the first questions are built to look alike with one detail changed, so students have to check each input rather than guess from a pattern.

The packet works as a relations and functions worksheet for the whole unit, with vertical line test practice built into the graph questions and a function terminology word bank at the end. Teachers can give the is it a function worksheet as a pre-test before the lesson and again afterward to show growth.

Because every section has 20 questions, scores are easy to compare from section to section, and a class average for each part shows which skill needs another day. The is it a function worksheet is also a handy review before a quiz.

What’s in the download

• Student worksheet: 12 pages
• Answer key: 15 pages, with a short explanation after each answer
• Answer sheet: 4 pages
• Lesson plan: 2 pages

The four parts add up to 33 pages, and everything comes as PDF.

How to use this is it a function worksheet

The lesson plan is set for 90 minutes. Its objectives are to understand the definition of a function, to identify functions from ordered pairs, tables and equations, to use the vertical line test on graphs, and to master the vocabulary of relations and functions.

The materials list a whiteboard and markers for demonstrating the vertical line test, graph paper for drawing functions and non-functions, and pencils. Draw a few graphs on the board and let students slide a ruler across them.

A simple rule works well: every input has exactly one output. Say it before each section, and let students point to the repeated input in the non-function examples.

The vocabulary section comes last, after students have met the words several times. The answer key explains each answer in a short sentence, so a student can see why a relation is or is not a function.

The answer sheet keeps the worksheet clean for reuse.

Where it fits

Use the is it a function worksheet for an algebra unit on functions, a quiz review, math centers, intervention or homework. Homeschool families can use one section a day.

Take a look at the preview pages before you buy, so you can see the worksheet, the answer key and the answer sheet.

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