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Grade 9 Math: Function Characteristics

Explore key characteristics of functions including domain, range, intercepts, and types of relations.

Grade 9 Math AlgebraFunctionsFunction Characteristics
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSF.IF.A.1CCSS.MATH.CONTENT.HSF.IF.B.4

Topics

functionsalgebradomainrangeinterceptsgrade 9
7 sections · Free to use · Printable
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Function Characteristics Review

Name:

Date:

Score:

Read each question carefully and provide your best answer. Show all 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, 2), (2, 2), (3, 2) }

d

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

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

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

4. The   of a function is the set of all possible output values.

5. A function is   if each input has exactly one output.

6. Consider the graph of a function shown below. Identify the x-intercept(s) and y-intercept(s).

-5-4-3-2-112345-5-4-3-2-112345

x-intercept(s):  

y-intercept(s):  

7. All relations are functions.

T

True

F

False

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

T

True

F

False

9. For the function f(x) = 2x - 5:

a) Find f(3).

b) Find the y-intercept.

c) Find the x-intercept.