Function is defined on the interval and is differentiable on except for a jump…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

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\in(-2,5)

such that

g'(c)=\dfrac{g(5)-g(-2)}{7}

(d)

g

is continuous on

[-2,5]