## Set-up of the AM-GM Analysis

On the right --

The blue graph shows the function .

The purple graph shows the distance function.

The red graph shows the minimum value of the distance function, a constant line tangent to the curve.

The green vertical graph shows the value of x where a minimum is reached.

The distance function.

Need to have factors of the variable with product that is a constant.

Apply the AM-GM inequality for 3 positive numbers.

Determine where the mininimum distance occurs.