# Lesson Worksheet: Graphs of Inverses of Functions Mathematics • 10th Grade

In this worksheet, we will practice using a graph to find the inverse of a function and analyzing the graphs for the inverse of a function.

Q1:

If we drew the function and its inverse function on the same graph, which of the following must be true?

• AThere would be symmetry about the line .
• BThere would be symmetry about the .
• CThere would be symmetry about the origin.
• DThere would be symmetry about the .
• EThe two graphs would be the same.

Q2:

The following is the graph of . Which of the following is the graph of the inverse function ?    • A(b)
• B(a)
• C(c)
• D(d)

Q3:

In the given figure, the green points represent the function . Do the blue points represent ? • ANo
• BYes

Q4:

Which of the following Graphs represents a function and its inverse function ?    • Bb
• Cc
• Da

Q5:

By sketching the graphs of the following functions, which is the inverse of itself?

• A
• B
• C
• D

Q6:

By sketching the graphs of and for , determine whether they are inverse functions.

• AThey are not inverse functions.
• BThey are inverse functions.

Q7:

The graph of is shown. Which of the points , , , and lies on the graph of the inverse function ? • A
• B
• C
• D

Q8:

The graph of for the interval is shown. Which of the points , , , and lies on the graph of its inverse function ? • A
• B
• C
• D

Q9:

Shown is the graph of . Find the intersection of the inverse function with the . • A
• B
• C
• D
• E

Q10:

The graphs of and its inverse intersect at three points, one of which is . Determine the value of .

• A
• B
• C
• D
• E

Find the of the point marked on the figure.

• A
• B
• C
• D
• E

Find the of the point marked on the figure.

• A
• B
• C
• D
• E