Practicing with Graphs of Inverse Functions

 

Solve the following problems involving graphs and their inverses.

1.

 True or False:  The inverse of the graph shown below will be a function.

Choose:

True
False

 

 

2.

True or False:  Since f(x) is a reflection of g(x), g(x) is also the inverse of f(x).

Choose:

True
False
 

 

 

3.

True or False:  The graphs shown below are inverses of one another.

Choose:

True
False

 

 

4.

True or False:  The graphs of sin(x) and cos(x) are inverses of one another.

Choose:

True
False

 

 

5.

The natural logarithmic function is the inverse function of the exponential function.  Since the point (0,1) lies on the exponential function, we know that the point _____ lies on the logarithmic function.

Choose:

(0,1)
(1,1)
(1,0)

 

 


Roberts