Question

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

Answer 1

-1
1
-5
5

Answer 2

well simply plug in x = -1 and evaluate then x = 1and evaluate

then the average rate of change is just

\[avg..rate..of..change= \frac{f(1) - f(-1)}{1 - (-1)}\]

hope it helps

Answer 3

ok i got -1 for both but that's the wrong answer according to my test. @campbell_st

Answer 4

well this is what I got

f(1) = -1

f(-1) = -11

perhaps thats helps

Answer 5

but thats none of the answer choices .@campbell_st

Answer 6

well if you use

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

you'll get one of the answers

Answer 7

it says math processing error. @campbell_st

Answer 8

really wow you must be dividing by zero....

which means you have entered it incorrectly...

its

\[avg..rate.. of..change = (-1 - (-11))\div(1 - (-1))\]

enter it the way I've written it

Answer 9

No no what your entering says "[Math Processing Error]"

Answer 10

ok... so its just plan old arithmetic time

negative negative is a positive so you have

(-1 + 11)/(1 + 1) =

that be easy

Answer 11

OH SO THE ANSWERS 5?

Answer 12

thats it.. well done

Answer 13

Another question , @campbell_st im working on this "Graph the function f(x) = x4 − 7x3 + 12x2 + 4x − 12 using graphing technology and identify for which values of x the graph is increasing."

Answer 14

ok... so do you have some technology that graphs the curve..?

Answer 15

ive graphed it already.

Answer 16

From x = −3 to x = −2

From x = −2 to x = −1

From x = 1 to x = 2

From x = 2 to x = 3

^my answers i can choose from

Answer 17

ok... so just need to find the parts of the curve where a tangent would have a positive slope...

any thought..?

Answer 18

From x = 1 to x = 2 @campbell_st

Answer 19

yep thats what i'd say, well done

Answer 20

thank you @campbell_st !

Answer 21

glad to help