Function g is defined on the interval [−2,5] and is differentiable on (−2,5) except for a jump discontinuity at x=1. Which hypothesis of the Mean Value Theorem is violated on [−2,5]?
a) g is differentiable on (−2,5)
b) g is differentiable at the endpoints x=−2 and x=5
c) There exists c∈(−2,5) such that g′(c)=7g(5)−g(−2)
d) g is continuous on [−2,5]