A function fhas a positive average rate of change on the interval [2,5]. Is fincreasing on [2,5]? Explain.

Short Answer

Expert verified

A function fhas a positive average rate of change on the interval means f(2)<f(5). It is not neceassrily that localid="1647412008021" fis increasing on the interval [2,5].

Step by step solution

01

Step 1. Given information

A function fhas a positive average rate of change on [2,5].

02

Step 2. Determine whether the function f is increasing on [2,5]? 

It is given that fis positive on the interval, which means that starting point is less than the ending point on the y-coordinate, that is, f(2)<f(5).

Therefore, conclude that the function can be increasing on some interval [2,5]and decreasing on some other interval [2,5].

Hence, it is not neceassrily that fis increasing on the interval [2,5].

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