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Grade 10 Function Characteristics Worksheet

Explore key characteristics of functions including domain, range, intercepts, and intervals of increase/decrease.

Grade 10 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

functionsalgebragrade 10math
7 sections · Free to use · Printable
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Function Characteristics

Name:

Date:

Score:

Read each question carefully and provide the best answer. Show all your work where applicable.

1. Which of the following graphs represents a function?

a
-5-4-3-2-112345-5-4-3-2-112345
b
-5-4-3-2-112345-5-4-3-2-112345
c
-5-4-3-2-112345-5-4-3-2-112345
d
-5-4-3-2-112345-5-4-3-2-112345

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  .

4. Given the function f(x) = 2x - 3, find the x-intercept and the y-intercept.

5. A function can have more than one y-intercept.

T

True

F

False

6. The vertical line test is used to determine if a relation is a function.

T

True

F

False

7. For the function graphed below, identify the domain, range, x-intercept(s), y-intercept(s), and intervals where the function is increasing and decreasing.

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

Domain:  

Range:  

X-intercept(s):  

Y-intercept(s):  

Increasing Interval(s):  

Decreasing Interval(s):