Evaluating Functions in Function Notation

This video tutorial introduces function notation and demonstrates how to evaluate functions using examples. It explains the concept of function machines and how to derive function rules. The tutorial also covers naming functions with letters like f, g, and h, and highlights common mistakes in interpreting function notation. Through guided practice, viewers learn to evaluate functions and check their answers.

What does 'f of X' represent in function notation?

• The subtraction of X from F

• The multiplication of F and X

• The output of the function when X is the input

• The addition of F and X

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the output when the input is 9 in a function machine with a rule of 'output = input x 5'?

• 14

• 45

• 50

• 40

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

How is the function 'y = 5x' written in function notation?

• f(x) = 5x

• y(x) = 5

• 5 of x = y

• x(f) = 5y

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CCSS.HSF.IF.A.2

What common mistake should be avoided when reading 'y = f(x)'?

• Assuming f(x) is a constant

• Thinking f(x) means subtraction

• Believing f(x) is an unknown value

• Interpreting f(x) as F times X

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CCSS.HSF.IF.A.1

In function notation, what does replacing 'y' with 'f(x)' accomplish?

• It changes the function's rule

• It signifies multiplication

• It increases the function's output

• It clarifies the function's name and its input variable

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CCSS.HSF-LE.A.1C

What does the function notation 'h(x) = 2x - 4' imply about 'h' and 'x'?

• 'h' is the input and 'x' is the output

• 'x' is a constant value

• 'h' is the name of the function and 'x' is the input variable

• It implies multiplication between 'h' and 'x'

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CCSS.HSF.IF.A.1

CCSS.8.F.A.1

What is the correct output for 'f(9)' if the function rule is 'output = input x 5'?

• 45

• 50

• 40

• 55

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the value of 'f(6)' for the function 'f(x) = 2x - 4'?

• 10

• 12

• -2

• 8

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CCSS.HSF.IF.A.2

For the function 'g(x) = 3x + 2', what is 'g(3)'?

• 5

• 8

• 9

• 11

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CCSS.HSF.IF.A.2

What is the value of 'g(0)' for the function 'g(x) = 3x + 2'?

• 2

• 3

• 5

• 0

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CCSS.HSF.IF.A.2