Inverse Functions and Graph Analysis

This video tutorial explains how to evaluate functions using graphs. It covers finding specific function values, evaluating inverse functions, identifying intercepts, and determining the domain and range. The video also discusses the vertical line test to determine if a relation is a function and the horizontal line test for inverse functions.

What is the y-value when x is -4 on the graph?

• 3

• 5

• -5

• 0

If f(x) = -7, what is the corresponding x-value?

• -7

• 7

• 5

• -5

When y is 6, which x-values are possible?

• 7 and -5

• 6 and -6

• 5 and -7

• -5 and 7

What is the x-value for the inverse function when y is 7?

• -6

• 7

• -7

• 6

Which of the following is an x-intercept of the graph?

• 5

• 4

• -1

• 0

What is the y-intercept of the graph?

• 0

• 4

• -4

• 7

What is the domain of the function?

• [-6, 7]

• (-6, 7)

• [-7, 6]

• (-7, 6)

What is the range of the function?

• [-7, 7]

• [-6, 7]

• [-6, 6]

• [6, 7]

Does the function pass the vertical line test?

• Yes

• No

• Only at certain points

• Not enough information

Is the inverse function a function?

• Yes

• Only if it passes the horizontal line test

• No

• Only if it passes the vertical line test