Evaluating Functions and Function Notation

This video tutorial covers function notation and how to evaluate functions for specific inputs. It explains the difference between standard equations and function notation, and demonstrates how to find function values for given inputs using examples. The tutorial also includes practice problems and solutions, and explores advanced function evaluation with expressions as inputs.

What is the main difference between a standard equation and function notation?

• Function notation uses different variables.

• Function notation replaces the output variable with f(x).

• Function notation does not use parentheses.

• Function notation changes the input variable.

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How do you read the notation f(x)?

• f of x

• f divided by x

• f times x

• f plus x

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If f(x) = x + 7, what is f(5)?

• 7

• 15

• 10

• 12

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Given g(x) = 3x - 8, what is g(-3)?

• 1

• 17

• -1

• -17

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For h(x) = 2/3x - 1, what is h(9)?

• 6

• 5

• 3

• 4

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If f(x) = x^2 - x, what is f(-4)?

• 24

• 20

• 16

• 12

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Given f(x) = -x^2 + 6x - 4, what is f(5)?

• 2

• 0

• 3

• 1

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For g(x) = -1/2x + 9, what is g(-8)?

• 14

• 11

• 13

• 12

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If f(x) = 4x + 11, what is f(c + 7)?

• 4c + 18

• 4c + 28

• 4c + 39

• 4c + 21

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Given h(x) = -9 - x, what is h(2k - 5)?

• -2k + 4

• -2k - 4

• -2k + 5

• -2k - 5

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