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Grade 10 Function Notation Worksheet

This worksheet covers function notation, evaluating functions, and understanding graphical representations of functions for Grade 10 students.

Grade 10 Math Functions OperationsFunction Notation
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / FalseCustom

Standards

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

Topics

Function NotationMathGrade 10FunctionsAlgebra
8 sections · Free to use · Printable
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Grade 10 Function Notation Worksheet

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

1. In function notation, f(x) represents the   of the function when the input is x.

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  .

Given the function f(x) = 3x - 5, find:

4. f(2)

5. f(-1)

6. f(a)

7. If g(x) = x² + 2x - 1, what is g(3)?

a

8

b

14

c

16

d

4

8. Which of the following represents 'the value of y when x is -2' in function notation?

a

f(y) = -2

b

f(-2)

c

y(-2)

d

x = -2

9. The expression f(x) + g(x) means to multiply the two functions.

T

True

F

False

10. If f(x) = 5x and f(a) = 20, then a = 4.

T

True

F

False

Given f(x) = x + 7 and g(x) = 2x - 3, find:

11. f(x) + g(x)

12. f(x) - g(x)

13. f(g(x))

14. Use the graph below to answer the following questions:

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

a) What is f(0)?

b) For what value(s) of x is f(x) = 2?