Evaluating Linear Functions

The video tutorial introduces function notation, emphasizing its importance in algebra. It uses a vending machine analogy to explain how functions work, where inputs are processed to produce outputs. The tutorial demonstrates evaluating functions with various inputs and provides practice examples to reinforce understanding.

Why is function notation important?

• It is only used in calculus.

• It is not important at all.

• It is only used in geometry.

• It is used in algebra and beyond.

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What is a function machine compared to in the video?

• A washing machine

• A computer

• A calculator

• A vending machine

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How do you read 'f(x)'?

• f of x

• f times x

• f plus x

• f divided by x

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What is the output when x is -2 in the function f(x) = 3x?

• 3

• 0

• -6

• 6

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What is the output when x is 0 in the function f(x) = 3x?

• 6

• -3

• 3

• 0

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What is the output when x is 5 in the function f(x) = 3x?

• 10

• 15

• 5

• 20

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In the function f(x) = 2x - 3, what is the output when x is 3?

• 3

• 6

• 0

• 9

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In the function g(x) = -x - 9, what is the output when x is 11?

• -20

• -11

• 0

• 2

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In the function h(x) = x + 1, what is the output when x is 2?

• 3

• 2

• 4

• 1

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What should you do every time you see an x in f(x) when evaluating a function?

• Replace it with the input value

• Multiply it by 2

• Divide it by 2

• Ignore it

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