Average Rate Of Change

Question

Find the Average Rate of Change g(x)= 3x²+2 between the form -4 to 2. Give your answer as a integer or reduced fraction.

Answer 1

to find the average rate of change for this function, you have to examine the formula of the average rate of change: (y2-y1)/(x2-x1).

having that said, you can now plug in the values by solving the equation for x= -4 and x= 2:

g(-4) = 50

g(2) = 14

so, average rate of change becomes: (14-50)/(2-(-4)) = 36/6 = 6.

hope that helps!