Question

PLEASE HELP !!! Calculate the average rate of change for the function f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1.

Answer 1

@mathstudent55

Answer 2

you need to find f(1) and f(-1)

Answer 3

then the average rate of change is \[\frac{f(1)-f(-1)}{1-(-1)}\]

Answer 4

Do I plug those in where x is?

Answer 5

f(1) can found by using the machine labeled f
x represents the input of the machine f
f(1) means we are using 1 as the input in the f machine
so yes replace x with 1 to find f(1)

Answer 6

Okay so it would remain the same since its 1??? @freckles

Answer 7

\[\text{ is } 1^4+3(1)^3-5(1)^2+2(1)-2 \text{ equal to } 1?\]

Answer 8

well 1^(anypower)=1
so is 1+3-5+2-2 equal to 1?

Answer 9

No

Answer 10

\[\frac{f(1)-f(-1)}{1-(-1)} \\ =\frac{[(1)^4+3(1)^3-5(1)^2+2(1)-2]-[(-1)^4+3(-1)^3-5(-1)^2+2(-1)-2]}{1-(-1)}\]

Answer 11

Woah that looks confusing!

Answer 12

just finding f(1) and f(-1) then pluggin it in

Answer 13

i just didn't simplify it for you

Answer 14

Oh okay! The multiple choice is only 1 digit

Answer 15

you should simplify the above

Answer 16

what did you get for f(1)? and f(-1)?

Answer 17

I jusy dint get it im really sorry! Thanks for truing to help

Answer 18

take f(x)
and replace all the x's in it with 1's to find f(1)
then
replace all the x's in f with -1's to find f(-1)

Answer 19

you can do this

Answer 20

\[f(x)=x^4+3x^3-5x^2+2x-2 \\f(1)=1^4+3(1)^3-5(1)^2+2(1)-2\\ f(-1)=(-1)^4+3(-1)^3-5(-1)^2+2(-1)-2\]

Answer 21

Okay hold on

Answer 22

Okay is the nswer -1?

Answer 23

Without using technology, describe the end behavior of f(x) = −3x38 + 7x3 − 12x + 13. Can u help with this instead? @freckles