If f is a function such that the quotient of the quantity f of b minus f of a and the quantity b minus a equals 2, then which of the following statements must be true?

f(a) = f(b) = 2
The slope of the tangent line to the function at x = a is 2.
The average rate of change of the function on the interval [a, b] is 2
The linear approximation for f(x) at x = a is y = 2

Question

If f is a function such that the quotient of the quantity f of b minus f of a and the quantity b minus a equals 2, then which of the following statements must be true?

f(a) = f(b) = 2
 The slope of the tangent line to the function at x = a is 2.
 The average rate of change of the function on the interval [a, b] is 2
 The linear approximation for f(x) at x = a is y = 2

anonymous · Answer

I think it is average rate of change answer, not sure though just wanted to be certain