Which set of conditions must a function satisfy on the interval so that the Mean…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Which set of conditions must a function

f

satisfy on the interval

[a,b]

so that the Mean Value Theorem is guaranteed to apply? (a)

f

is continuous on

(a,b)

and differentiable on

[a,b]

. (b)

f

is continuous on

[a,b]

and differentiable on

(a,b)

. (c)

f

is differentiable on

[a,b]

(continuity is not required). (d)

f

is continuous and differentiable on

(a,b)