Grade 9 Math: Function Relations

This worksheet focuses on understanding and identifying function relations, including domain, range, and different representations of functions for Grade 9 Math students.

Grade 9 Math Functions OperationsFunction Relations

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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort Answer

Standards

CCSS.MATH.CONTENT.8.F.A.1CCSS.MATH.CONTENT.HSF.IF.A.1

Topics

MathFunctionsRelationsGrade 9

6 sections · Free to use · Printable

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Grade 9 Math: Function Relations

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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

1. Which of the following relations is a function?

{ (1, 2), (1, 3), (2, 4) }

{ (1, 2), (2, 2), (3, 4) }

{ (1, 2), (2, 3), (2, 5) }

{ (1, 2), (3, 4), (3, 5) }

2. What is the domain of the relation { (2, 3), (4, 5), (6, 7) }?

{ 3, 5, 7 }

{ 2, 4, 6 }

{ 2, 3, 4, 5, 6, 7 }

{ 2, 7 }

3. A relation where each input has exactly one output is called a .

4. The set of all possible input values for a function is called the .

5. All relations are functions.

True

False

6. The vertical line test can be used to determine if a graph represents a function.

True

False

7. Given the relation { (0, 1), (1, 3), (2, 5), (3, 7) }:

a) Is this relation a function? Explain why or why not.

b) State the domain of the relation.

c) State the range of the relation.

8. Draw a graph on the coordinate plane that represents a relation but is NOT a function. Explain your reasoning.