MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity
Problem
The function g is continuous on [−3,5] with g(−3)=2 and g(5)=−4. Which of the following statements is necessarily true?
(a) There exists c∈(−3,5) such that g(c)=3.
(b) There exists c∈(−3,5) such that g(c)=0.
(c) There exists c∈(−3,5) such that g(c)=−4.
(d) There exists c∈(−3,5) such that g(c)=−5.