FAN/MEDAL!!!
For the graphed function f(x) = −(5)x − 3 + 2, calculate the average rate of change from x = 4 to x = 6

Question

FAN/MEDAL!!!
For the graphed function f(x) = −(5)x − 3 + 2, calculate the average rate of change from x = 4 to x = 6

anonymous · Answer

answer choices are:
 −68 

 −60 

 68 

 60

anonymous · Answer

take ist derivaite first

anonymous · Answer

I dont know how to do that? @Nurali

anonymous · Answer

@Brainybeauty

anonymous · Answer

$$f(x) = −(5)^{x − 3} + 2$$ maybe?

anonymous · Answer

can u state the question in correct form plz

anonymous · Answer

Thats exactly how it is written on my flvs

anonymous · Answer

whatever it is, the answer is 
$$\frac{f(6)-f(4)}{6-4}$$

anonymous · Answer

@cambam1323  the way you wrote the function is not clear

anonymous · Answer

how do i solve that? do i have to do something special to the f(^6) and f(4)? i really need help!

anonymous · Answer

but whatever the function is, your job is to compute 
$$\frac{f(6)-f(4)}{2}$$

anonymous · Answer

since i cannot read $f(x)$ i cannot figure out what $f(6)$ is

anonymous · Answer

this is exactly what it looks like... For the graphed function f(x) = −(5)x − 3 + 2, calculate the average rate of change from x = 4 to x = 6.

graph of f of x equals negative 1 times 5 to the x minus 3 power, plus 2 

 −68 

 −60 

 68 

 60

anonymous · Answer

it is the function that is illegible 
it is $f(x) = −(5)^{x − 3} + 2$? $$ f(x) = −(5)x − 3 + 2$$ makes no sense

anonymous · Answer

$$f(x)=-(5)^{x-3}+2$$

anonymous · Answer

sorry about that

anonymous · Answer

yay

anonymous · Answer

$$f(6)=-5^{6-3}+2=-5^3+2=-125+2=-123$$

anonymous · Answer

your turn for $f(4)$

anonymous · Answer

I dont know how you got that? care to explain so i can then try?

anonymous · Answer

sure

anonymous · Answer

thank you

anonymous · Answer

$$\large f(x)=-5^{x-3}+2\
f(\spadesuit)=-5^{\spadesuit-3}+2\
f(\heartsuit)=-5^{\heartsuit-3}+2\
f(\clubsuit)=-5^{\clubsuit-3}+2\
f(\diamondsuit)=-5^{\diamondsuit-3}+2\
f(6)=-5^{6-3}+2$$

anonymous · Answer

in english , where you see an $x$ replace it by a $6$

anonymous · Answer

and so $$f(4)$$ where you see a $x$ replace it by $4$
it is how you evaluate a function

anonymous · Answer

okay so it would be $$f(4)=-5^{4-3}+2$$

anonymous · Answer

yes!

anonymous · Answer

although you still have to compute that number

anonymous · Answer

how just through order of opperations?

anonymous · Answer

i guess so

anonymous · Answer

so f(4)=7???

anonymous · Answer

i get minus three

anonymous · Answer

oh i see you forgot the minus sign in front of the five

anonymous · Answer

what?

anonymous · Answer

$$f(4)=-5^{4-3}+2=-5^1+2=-5+2=-3$$

anonymous · Answer

i think you dropped the minus sign

anonymous · Answer

ohh yeah i did. :(

anonymous · Answer

ok now we are almost done

anonymous · Answer

yay!

anonymous · Answer

$$f(6)=-123\
f(4)=-3$$ and you need to compute 
$$\frac{f(6)-f(4)}{6-4}$$

anonymous · Answer

plug in the numbers, be careful with the arithmetic

anonymous · Answer

$$\frac{ -123-(-3) }{6-4  }$$

anonymous · Answer

yes ...

anonymous · Answer

and then i just solve it?

anonymous · Answer

let me know when you get $-60$

anonymous · Answer

if by "solve" you mean "compute the number" then yes

anonymous · Answer

i got -60 is that correct?!? :)

anonymous · Answer

yes

anonymous · Answer

hooray!!! thank you so so so so so so so much!!!

anonymous · Answer

yw

anonymous · Answer

i an do some math, can play no instruments though...

anonymous · Answer

haha i spend most of my time playing and learning instruments and reading, i try to get ahead in school too. i also sing in a band. and i do lots of sports so im pretty busy :)