Question

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

Answer 1

looks like (c) to me. That fraction is ∆y/∆x, right?

Answer 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
.

Answer 3

Correct answer is C