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

User Laurent LAPORTE
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1 Answer

12 votes
12 votes

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.

User Zichzheng
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2.7k points