Use the following graph of the function f (x) = 2x3 + x2 - 3x + 1 to answer this question: graph of 2x cubed plus x squared minus 3x plus 1 What is the average rate of change from x = - 2 to x = 0?

The formula for the Average Rate of Change of a function is given by:

(f (x2) - f (x1)) / (x2 - x1)

We have then:

x1 = - 2

x2 = 0

Evaluating the function we have:

For x1 = - 2:

f (-2) = 2 * ( - 2) ^ 3 + (-2) ^ 2 - 3 * ( - 2) + 1

f (-2) = - 5

For x2 = 0:

f (0) = 2 * (0) ^ 3 + (0) ^ 2 - 3 * (0) + 1

f (0) = 1

Then, replacing values we have:

(1 - (-5)) / (0 - (-2))

(1 + 5) / (0 + 2)

6/2

3

Answer:

the average rate of change from x = - 2 to x = 0 is:

3