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;

$\begin{gathered} =\frac{48-0}{7-1} \\ =\frac{48}{6} \\ =8 \end{gathered}$

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