The function is .

(a) Graph the function .

Graph of :

.

(b) Graph using graphing utility:

(c)

Observe the graph:

The function does not pass the horizontal line test.

The function is not one-to-one and does not have an inverse.

The inverse relation is not an inverse function. 

(a)

Graph:

Graph the function .

(b)

Graph:

Graph using graphing utility:

(c)

The function is not one-to-one and does not have an inverse.

The inverse relation is not an inverse function.