,

The average rate of change of a function can be found by calculating the change in values of the two points divided by the change in values of the two points.

Substitute the equation for and , replacing in the function with the corresponding value.

Pull out imaginary unit .

Rewrite as .

Rewrite as .

Rewrite as .

Simplify the numerator.

Any root of is .

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Move to the left of .

Multiply by .

Simplify the denominator.

Multiply by .

Add and .

Split the fraction into two fractions.

Move the negative in front of the fraction.

Find the Average Rate of Change y = square root of x , (-4,1)