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Grade 10 Function Relations Worksheet

This worksheet covers key concepts in function relations for Grade 10 mathematics, including identifying functions, domain, range, and evaluating functions.

Grade 10 Math Functions OperationsFunction Relations
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSF.IF.A.1CCSS.MATH.CONTENT.HSF.IF.A.2

Topics

functionsrelationsalgebradomainrangegrade 10
7 sections · Free to use · Printable
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Grade 10 Function Relations

Name:

Date:

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Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. Which of the following relations is NOT a function?

a

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

b

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

c

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

d

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

2. What is the domain of the function f(x) = √(x - 3)?

a

x > 3

b

x < 3

c

x ≥ 3

d

All real numbers

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

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

3. The set of all possible output values for a function is called the  .

1. Given the function f(x) = 2x + 5, find f(-3).

2. Determine if the following mapping diagram represents a function. Explain your reasoning.

Input: {1, 2, 3}

Output: {4, 5, 6}

Mapping: 1 → 4, 2 → 5, 3 → 5

1. All relations are functions.

T

True

F

False

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

T

True

F

False

1. Plot the following relation on the coordinate plane: {(-2, 1), (-1, -1), (0, 3), (1, 1), (2, -2)}

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