Composite Functions and Evaluations

The video tutorial explains how to determine composite function values using graphs of functions F and G. It introduces the concept of composite functions and demonstrates how to evaluate them by focusing on the inner function first. The tutorial provides detailed examples of evaluating F(G(1)), G(F(9)), F(F(0)), and G(G(8)) using graphical methods to find corresponding Y values for given X values.

What is a composite function?

• A function that is divided by another function

• A function that is added to another function

• A function that is multiplied by another function

• A function that is applied to the result of another function

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CCSS.HSF-BF.A.1C

Which function do you evaluate first in a composite function?

• The outer function

• The inner function

• Both functions simultaneously

• It doesn't matter

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CCSS.HSF-BF.A.1C

What is the value of F(G(1)) given G(1) = 8 and F(8) = 5?

• 8

• 5

• 1

• 0

Tags

CCSS.HSF-BF.A.1C

To find G(F(9)), what is the first step?

• Find F(0)

• Find G(9)

• Find G(0)

• Find F(9)

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CCSS.HSF-BF.A.1C

If F(9) = 3, what is G(F(9)) given G(3) = 6?

• 9

• 6

• 3

• 0

Tags

CCSS.HSF-BF.A.1C

What is the value of F(F(0)) if F(0) = 1 and F(1) = 2?

• 1

• 3

• 2

• 0

Tags

CCSS.HSF-BF.A.1C

What is the first step in evaluating F(F(0))?

• Find G(0)

• Find G(1)

• Find F(0)

• Find F(1)

Tags

CCSS.HSF-BF.A.1C

What is the value of G(G(8)) if G(8) = 2 and G(2) = 7?

• 0

• 7

• 2

• 8

Tags

CCSS.HSF-BF.A.1C

To evaluate G(G(8)), what is the first function value you need?

• G(2)

• G(8)

• F(8)

• F(2)

Tags

CCSS.HSF-BF.A.1C

What is the final step in evaluating G(G(8))?

• Find G(2)

• Find F(2)

• Find G(8)

• Find F(8)

Tags

CCSS.HSF-BF.A.1C