The function is .

(a)

Graph :

Draw a coordinate plane.

Graph the function .

.

(b)

Graph :

Graph using graphing utility:

.

(c)

Observe the graph :

Since the line touches the curve of only at one point, the function is one-to-one function.

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

(a)

Graph of the function .

(b)

Graph of :

(c)

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