Please please please help!!!
Explain how to find the average rate of change for f(x) from x=4 to x=7
I have equation x^2-4x+12

Question

Please please please help!!!
Explain how to find the average rate of change for f(x) from x=4 to x=7
I have equation x^2-4x+12

imstuck · Answer

You need to plug 4 in for x and find the y; then you need to plug 7 in for x and find THAT y.  Then do the slope formula, y2 - y1/x2 - x1 to find the rate of change.

anonymous · Answer

When I plug them in I got 12 and 33. Is that correct so far?

anonymous · Answer

$$\text{average rate of change over }(a,b)=\frac{f(b)-f(a)}{b-a}$$
where $a=4$ and $b=7$.

You have
$$\begin{cases}f(7)=7^2-4(7)+12=33\
f(4)=4^2-4(4)+12=12\end{cases}$$
So from here, the avg rate of change would be
$$\frac{33-12}{7-4}=\cdots$$

anonymous · Answer

You would get 21/3 Which would be 7. so your Average rate of change is 7 c:

anonymous · Answer

Ohhhh ok that seems simple! Thank you guys so so much!
Btw, sorry I lost internet for a while.