Question

Help me with the functions?

Answer 1

what is the question

Answer 2

QUESTION PL

Answer 3

@Brill

Answer 4

ok first do u have any clueee?????

Answer 5

Do you know how to find the slope of a line who contains points (-3,f(-3)) and (-1,f(-1))?

Answer 6

I forgot, it's been a while since I've used it. :/

Answer 7

we want to find the average rate of change of the curve y=f(x) from x=a to x=b
that is the same as finding the slope of the line who contains the points (a,g(a)) and (b,g(b))
slope=rise/run=change in y/change in x

Answer 8

\[\text{ slope of the line containing points } (a,g(a)) \text{ and } (b,g(g)) \text{ is } \\ \frac{g(b)-g(a)}{b-a} \]

Answer 9

and again that is also the same formula used for finding the average rate of change of the curve y=g(x) from x=a to x=b

Answer 10

can you let me know what you don't understand?

Answer 11

like is it you don't know how to find f(-3) or f(-1)?

Answer 12

\[f(x)=2x^2-3x-4 \\ f(a)=2a^2-3a-4 \\ f(5)=2(5)^2-3(5)-4=2(25)-15-4=50-15-4=50-19=31 \\ \text{ so } f(-1)=? \\ \text{ and } f(-3)=?\]

Answer 13

\[f(\text{input})=2(\text{ input})^2-3(\text{input})-4 \]

Answer 14

to find f(-1) you are replacing the input value with -1

Answer 15

to find f(-3) you are replacing the input value with -3

Answer 16

Alright.

Answer 17

once you find that
just compute the average rate of change of y=f(x) from x=-3 to x=-1
using the definition above

Answer 18

\[\frac{f(-1)-f(-3)}{-1-(-3)}\]

Answer 19

so I'm not sure what you don't understand
I need for you to tell me

Answer 20

like the only thing I could guess you were stuck on is evaluate f(something)

Answer 21

Here's what I got...

\[\frac{ -2(-3)^2-3(-3)-4 }{ -1--3 }=11.5\]

Answer 22

what happened to f(-1)?

Answer 23

\[\frac{f(-1)-f(-3)}{-1-(-3)} \\ =\frac{[2(-1)^2-3(-1)-4]-[2(-3)^2-3(-3)-4]}{-1-(-3)}\]
though this problem would probably look similer to you if you don't compute f(-3) and f(-1) inside the definition but outside the definition and just plug in the simplified values for f(-1) and f(-3) instead of 2(-1)^2-3(-1)-4 and 2(-3)^2-3(-3)-4 respectively

Answer 24

easier to you*

Answer 25

so say I wanted to find the average rate of change from x=-1 to x=0
f(-1)=2(-1)^2-3(-1)-4=2+3-4=1
f(0)=2(0)^2-3(0)-4=0-0-4=-4

so the average rate of change from x=-1 to x=0
is \[\frac{f(0)-f(-1)}{0-(-1)}=\frac{-4-1}{0+1}=\frac{-5}{1}=-5\]

Answer 26

Got it

Answer 27

@shaleiah so you got the final answer ?

Answer 28

mention me if you want me to check your final answer