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 ?
- Ad
- 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
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