Chapter 3.1, Problem 10AYU

True or False The average rate of change of $f\left(x\right)=2x+8$ is 8.

To determine

Whether the given statement is true or false.

Answer to Problem 10AYU

Solution:

False.

Explanation of Solution

Given:

The given statement is

“The average rate of change of $f(x)=2x+8$ is 8.”

The average rate of change of a linear function is the slope of the given function.

Therefore, for a linear equation of the form $f(x) = ax + b$, $a$ is the slope and $b$ is the $\text{y-intercept}$.

Thus, the slope of the given function is 2 and 8 is its $\text{y-intercept}$.

Therefore, the given statement is false.