Rate of change?

Question

Compute the average rate of change of the function over the indicated interval

(1) f(x)= x^2 + x [1,4]

(2) g(x)= 2x^3 = 3x = 1 [2,4]

Answer 1

Average rate of change is given by:

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

For the first problem:

(f(4) - f(1))/(4-1) = (20 - 2)/2 = 9

There is a problem with the way you have written the fuction g(x) in the second problem. The equals signs are probably supposed to be either addition or subtraction signs.

Answer 2

just plug the numbers in to the equation. Then subtract the 2 values you get (one for each number) and divide the answer by the difference of the original two numbers.
for the first one:
f(4)-f(1) divided by (4-1)