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.

Answers

Yes, a positive average rate of change means that our endpoint of the interval is greater than the initial point of our interval.

What is the average rate of change?

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval’s ends on the graph of the function.

Yes, a positive average rate of change indicates that the endpoint of our period is higher than the interval’s starting point. A function f is rising over the range [a,b] by definition if f(b)> f. (a)

Therefore, the positive average rate of change over an interval must be increasing over that interval.

To know more about the average rate of change follow

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)

averagerate of change means that ourendpointof the interval is greater than theinitialpoint of our interval.## What is the average rate of change?

averageamount by which the function changed per unit throughout that time period. It iscalculatedusing the slope of the line linking theinterval’sends on thegraphof the function.averagerate of change indicates that the endpoint of our period is higher than the interval’s startingpoint. A function f is rising over therange[a,b] by definition if f(b)> f. (a)positiveaverage rate of changeoveran interval must be increasing over that interval.average rate of changefollowStep-by-step explanation: