The function is .

(a) Graph the function .

Graph of the function :

.

(b) Graph the inverse function:

Graph of using graphing utility:

.

(c)

Horizontal line test:

Observe the graph:

The function pass the horizontal line test. \ \

The function is one-to-one and has an inverse function.

The inverse relation is an inverse function.

(a) Graph of :

(b) Graph of :

.

(c) The function is one-to-one and has an inverse function.