Question

Let g(x)=x^3+2x-5. By the Mean Value Theorem for Derivatives, there must a number c in (-1,2) such that g'(c) equals which value?

Answer 1

E. 5

Explanation:

g(2) = 2³ + 2(2) - 5 = 7

g(-1) = (-1)³ + 2(-1) - 5 = -8

(-8 - 7)/(-1 - 2)

-15/-3

= 5