Question

Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7. my equation is f(x)=2(x-6)^2+4

Answer 1

\[f(x)=2(x-6)^2+4\] right?

Answer 2

\[f(7)=2(7-6)^2+4=6\]

Answer 3

\[f(4)=2(4-6)^2+4=12\] if my arithmetic is correct

Answer 4

your final job is to compute
\[\frac{f(7)-f(4)}{7-3}=\frac{6-12}{4}=...\]

Answer 5

so it would be \[\frac{ 6 }{ 4 }\]

Answer 6

no

Answer 7

sorry im really bad at math, hahaha

Answer 8

since \(6-12=-6\) it would be \(-\frac{6}{4}=-\frac{3}{2}\)

Answer 9

watch them signs!

Answer 10

OH, because a smaller number is subtracting to a larger so it would end up being negative! i get it lol