Calculus

If f is a function such that
(f(b) - f(a))/(b-a) =2, then which of the following statements must be true

a) f(a) = f(b) =2

b) the slope of the tangent line to the function at x =a is 2

c) The average rate of change of the function on the interval [a,b] is 2

d) the linear approximation for
f(x) at x =a is y= 2

  1. 👍 0
  2. 👎 0
  3. 👁 559
  1. looks like (c) to me. That fraction is ∆y/∆x, right?

    1. 👍 2
    2. 👎 0
  2. b) would be true if one were dealing with the lim(f) as b >>>a. But that is not true.
    c. average is a powerful term. True
    .

  3. Correct answer is C

    1. 👍 1
    2. 👎 0
  4. C.

    1. 👍 1
    2. 👎 0

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