Function Worksheets

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Walk through this compilation of function worksheets that are a must-have for students to bolster their practice in determining the input and output values. One major criterion for a relation to be a function is that each input should have only one output. The relationship between the input and output values is what the function rule is all about. Packed in these printable worksheets are a variety of exercises to familiarize students with the identification of functions by observing graphs, determining the domain and range, completing function tables, graphing linear and quadratic functions, composing two functions and a lot more to give students a strong foundation of the topic.

These function worksheets are curated for grade 8 and high school students.

CCSS: 8.F, HSF-IF.A.1, HSF-IF.C.7, HSF-BF.A.1

Identifying Functions from Graphs

Put your observation skills to test and examine each of the nine graphs in these free identifying functions worksheets. 8th grade and high school students are expected to apply the vertical line test to identify graphs that represent a function.

Identifying Functions from Graphs

Domain and Range

Determine the set of possible input values or domain of a function by observing the x-axis of the graph, and the possible output values or range from the y-axis of the graph with this set of printable domain and range worksheets.

Determine the Domain and Range of Functions from Graphs

Complete the Function Tables

Plug in each input value in the function rule and complete the table with the appropriate output values in these pdf function table worksheets.

Complete the Function Tables

Graphing Linear Functions

Substitute the input values in the function rule, find the output values, and plot the graph which is a straight line is all that is expected of 8th grade and high school students in these pdf graphing linear functions worksheets.

Graphing Linear Functions

Graphing Quadratic Functions

Upskill high school students' in graphing with yet another set of free worksheets, but this time featuring quadratic functions. Bear in mind the highest power is 2, and the graph of a quadratic function is a parabola.

Graphing Quadratic Functions

Evaluating Functions

Test your students with these printable evaluating functions worksheets. The process of evaluating a function is the same as evaluating an equation, although the notation varies.

Evaluating Functions

Composition of Two Functions

Gain ample practice with these composition of functions also called functions of functions worksheets. High school students compose two functions f(x) and g(x), where the output of one function g(x) becomes the input of the other f(g(x)).

Composition of Two Functions