The function is .

Graph the function on .

Graph of the function on .

(a)

Observe the graph:

Distance from the origin to the -intercept : .

Distance from the origin to the -intercept : .

(b)

Find the distance function as function of .

.

Substitute .

Graph the function and locate the minimum point.

Graph of the function :

Observe the graph:

The minimum distance is occurs at .

(c)

Find the critical numbers by equating first derivative to zero.

Identify the zero using graphing utility:

The zero of the is .

Substitute in .

.

The minimum distance is occurs at .

(a) Graph of the function on .

Distance from the origin to the -intercept : .

Distance from the origin to the -intercept : .

(b)

Graph of the function :

(c) The minimum distance is occurs at .