NAME

Question types


Start with


Question limit

of 8 available terms

Advertisement Upgrade to remove ads
Print test

3 Written questions

3 Multiple choice questions

  1. A generalization of Rolle's Theorem. If f(x) is continuous on the closed interval [a, b], differentiable on (a, b), then there exists one c on (a, b) such that f'(c) = [f(b) - f(a)] / (b-a)
  2. If the limit of f(x) as x approaches a exists, and the limits are equal to f(a) at the point and from both sides, then f(x) is continuous at x=a
  3. If f(x) is continuous in an interval [a, b] then somewhere on the interval it will achieve every value between f(a) and f(b); if f(a) is less than or equal to M, which is less than or equal to f(b), then there exists one value c in the interval [a, b] such that f(c) = M.

2 True/False questions

  1. Rolle's TheoremIf f(x) is continuous on the closed interval [a, b], differentiable on (a, b), and satisfies f(a) = f(b), then for some c in the interval (a, b), we have f'(c) = 0

          

  2. Instantaneous Rate of Change[f(b) - f(a)] / (b-a)

          

Create Set