Exploring Composite Functions

What is a composite function?

• A function that is composed of a single function.

• A function that has no output.

• A function that is made up of other functions.

• A function that has no input.

Tags

CCSS.HSF-BF.A.1C

What symbol is used to denote the composition of functions?

• A plus sign (+)

• A minus sign (-)

• A circle (∘)

• A multiplication sign (×)

Tags

CCSS.HSF-BF.A.1C

What is the first step in evaluating a composite function?

• Plugging the input value into the inner function

• Subtracting the input value from the function

• Plugging the input value into the outer function

• Adding the input value to the function

Tags

CCSS.HSF-BF.A.1C

In the example where f(x) = x - 7 and g(x) = x^2, what is f(g(x))?

• x^2

• x^2 - 7

• x^2 + 7

• x - 7

Tags

CCSS.HSF-BF.A.1C

When composing functions, which function do you start with?

• The function on the inside

• The function on the outside

• The function with the higher degree

• The function with the lower degree

Tags

CCSS.HSF-BF.A.1C

In the example where f(x) = x - 7 and g(x) = x^2, what is g(f(x))?

• x - 7

• x^2 + 7

• x^2 - 7

• (x - 7)^2

Tags

CCSS.HSF-BF.A.1C

What is the result of f(g(2)) if f(x) = x - 7 and g(x) = x^2?

• 25

• 4

• -3

• 1

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CCSS.HSF.IF.A.2

If f(x) = x - 7, what is f(2)?

• -9

• 9

• 5

• -5

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CCSS.HSF.IF.A.2

If g(x) = x^2, what is g(2)?

• 2

• 4

• 16

• 8

Tags

CCSS.HSF-BF.A.1C

What is the result of g(f(2)) if f(x) = x - 7 and g(x) = x^2?

• 1

• -3

• 4

• 25

Tags

CCSS.HSF-BF.A.1C