Question

True or False The average rate of change of a function ffrom a to b is$\frac{f\left(b\right)+f\left(a\right)}{b+a}$

Short answer

The given statement is false.

Step-by-step solution

Step 1. Given Information

The average rate of change is defined as the total change of the function values divided by the change in the input values.

Step 2. Determine whether the given statement is true or false

The given statement "the average rate of change of a function ffrom ato bis $\frac{f\left(b\right)+f\left(a\right)}{b+a}$" is false because the average rate of change of a function is$\frac{f\left(b\right)-f\left(a\right)}{b-a}.$