Could someone please help me with this problem? :c

5. Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.

My f(x) is y=1(x-1)^2+12

Pretty Please?

Question

Could someone please help me with this problem? :c

5.	Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.

My f(x) is y=1(x-1)^2+12

Pretty Please?

anonymous · Answer

average rate of change is 
$$\frac{f(b)-f(a)}{b-a}$$ which in your case is 
$$\frac{f(7)-f(4)}{7-4}$$ 
pretty clear that $7-4=3$ so what you need now is $f(7)$ and $f(4)$ so you can compute the numerator

anonymous · Answer

Functions aren't really my strong suit... Like, I have no idea what f(4) or f(7) even is .-. If not just trying to get answers though, if you could help me understand further that would be great!(: @satellite73

anonymous · Answer

I'm* @satellite73

anonymous · Answer

sure

anonymous · Answer

$$f(x)=(x-1)^2+12$$ right?

anonymous · Answer

that makes 
$$f(7)=(7-1)^2+12=6^2+12=36+12=48$$

anonymous · Answer

you good so far? we are going to do the same thing for $f(4)$
$$f(4)=(4-1)^2+12=3^2+12=9+12=21$$

anonymous · Answer

and therefore $f(7)-f(4)=48-21=27$

anonymous · Answer

final answer is $\frac{27}{3}=9$

anonymous · Answer

Ohhhhhh! Okay wait, so does the number in the () effect the equation at all? Like I see that you use that number to substitute but, do you do anything with it other than just use it for x? @satellite73

anonymous · Answer

And how did you get the 3 under the 27? .-.
@satellite73

ranga · Answer

Look at the first reply.  The denominator is (b - a) = (7 - 4) = 3

anonymous · Answer

@ranga Ohhh! Thank you!!!(:

ranga · Answer

you are welcome.