Science:Math Exam Resources/Courses/MATH110/April 2018/Question 02 (d)/Statement

Consider a function ${\textstyle f}$ whose graph is showed below. On which of the following intervals does the Mean Value Theorem (MVT) apply to ${\textstyle f}$? Select all that apply.

If the theorem applies, give a reasonable estimate of the number ${\textstyle c}$ in the given interval that satisfies the conclusion of the theorem.

(a) ${\textstyle [-1.5,0]}$, and the number ${\textstyle c}$ that satisfies the conclusion of MVT is ____
(b) ${\textstyle [-1,0]}$, and the number ${\textstyle c}$ that satisfies the conclusion of MVT is ____
(c) ${\textstyle [-1,1]}$, and the number ${\textstyle c}$ that satisfies the conclusion of MVT is ____
(d) ${\textstyle [0,2]}$, and the number ${\textstyle c}$ that satisfies the conclusion of MVT is ____