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.