Intermediate Value Theorem

AP Calculus AB· difficulty 2/5

The Intermediate Value Theorem requires which hypothesis?

  • A

    f(a)>0f'(a) > 0

  • B

    ff is differentiable on [a,b][a, b]

  • C

    ff is continuous on [a,b][a, b]

    check_circle
  • D

    f(a)=f(b)f(a) = f(b)

Explanation

IVT requires only continuity on a closed interval — then ff takes every value between f(a)f(a) and f(b)f(b).

Want 10 more like this — adaptive to your weak spots?

Related questions