Question

If a function has a positive average rate of change over
an interval, does that mean that the function must be increasing over that
interval? Explain.

Answer 1

Step-by-step explanation:

Yes, an positive average rate of change means that our endpoint of the interval is greater than the initial point of our interval. By definition, a function, f is increasing over an interval [a,b], if f(b)> f(a)