Evaluating Composite Functions from Graphs

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 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 are the two ways to express a composite function?

• Using logarithms and exponents

• Using nested functions and function composition notation

• Using multiplication and division

• Using addition and subtraction

Tags

CCSS.HSF-BF.A.1C

Which function should be evaluated first in a composite function?

• The outer function

• It doesn't matter

• The inner function

• Both functions simultaneously

Tags

CCSS.HSF-BF.A.1C

What is the value of G(1) in the given example?

• 5

• 8

• 6

• 3

Tags

CCSS.HSF.IF.A.2

What is the value of F(8) in the given example?

• 5

• 8

• 6

• 3

Tags

CCSS.HSF.IF.A.2

What is the value of F(G(1)) in the given example?

• 5

• 8

• 3

• 6

Tags

CCSS.HSF-BF.A.1C

What is the value of F(9) in the given example?

• 5

• 6

• 8

• 3

Tags

CCSS.HSF.IF.A.2

What is the value of G(3) in the given example?

• 6

• 3

• 8

• 5

Tags

CCSS.HSF.IF.A.2

What is the value of F(F(0)) in the given example?

• 1

• 2

• 3

• 4

Tags

CCSS.HSF-BF.A.1C

What is the value of G(G(8)) in the given example?

• 6

• 5

• 7

• 8

Tags

CCSS.HSF-BF.A.1C

What is the value of F(0) in the given example?

• 2

• 1

• 3

• 4

Tags

CCSS.HSF.IF.A.2