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Worksheet: Finding the Inverse of a Function from Its Graph
Q2:
The following graph is of the function , with its maximum at , minimum at , and zero at labeled.
Find an expression for the inverse function when is restricted to the interval .
- A
- B
- C
- D
- E
What is the domain of in this case?
- A
- B
- C
- D
- E
Q3:
The following graph is of the function , with its maximum at , minimum at , and zero at marked.
Find an expression for the inverse function when is restricted to the interval .
- A
- B
- C
- D
- E
What is the domain of in this case?
- A
- B
- C
- D
- E
Q4:
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 -coordinate of the point marked on the figure.
- A
- B
- C
- D
- E
Find the -coordinate of the point marked on the figure.
- A
- B
- C
- D
- E
Q5:
Determine whether the inverse of the represented function is a function or not.
- Anot a function
- Ba function
Q6:
The following graph is of the function , with its maximum at , minimum at , and zero at marked.
Find an expression for the inverse function when is restricted to the interval .
- A
- B
- C
- D
- E
What is the domain of in this case?
- A
- B
- C
- D
- E
Q7:
The following is the graph of .
Which one is the graph of the inverse function ?
- A (c)
- B (b)
- C (a)
Q8:
In the given figure, the green points represent the function . Do the blue points represent ?
- AYes
- BNo
Q9:
Consider the two following figures.
The first figure shows the graph of and a tangent to the graph with gradient 1. This tangent meets the graph at a point with -coordinate .
The second figure shows the graphs of and its inverse . The graphs cross in the third quadrant and touch in the first quadrant.
What is the value of ?
- A
- B
- C
- D
- E
What are the -coordinates of the two points of intersection of the graphs in the second figure?
- A and
- B and
- C and
- D and
- E and