Question

14. The average rate of change of the function f(x)=x^2-1 as x changes from 1 to 7 is 7

Answer 1

Given the function;

`f(x)=x^2-1`

At x = 1;

`f(1)=1^2-1=0`

and at x = 7;

`f(7)=7^2-1=49-1=48`

The rate of change of the function is;

`\begin{gathered} =(48-0)/(7-1) \\ =(48)/(6) \\ =8 \end{gathered}`

CORRECT ANSWER: FALSE because the rate of change is NOT 7.