Question

Find the average rate of change of the given function on the interval [0,3].
g(x)=3x3+4x+4
Enter your answer as a reduced improper fraction, if necessary.

Answer 1

3+0+4 @AZ

Answer 2

I have no idea how you got that

It's the same as the previous questions

we need to plug in x = 0 and find out the value we get
and then we plug in x = 3 and see what we get

and then we find the slope between the two points

Answer 3

what do you get when x = 0

3*(0^3) + (4*0) + 4

= ??

Answer 4

0+0+4?

Answer 5

yes and what is that

Answer 6

4

Answer 7

81+12+4

Answer 8

97

Answer 9

good!! so now we have

(0, 4)
and (3, 97)

Answer 10

so can you find the slope between the two points?

Answer 11

sorry ummm

Answer 12

im not able to

Answer 13

I'll throw in colors for you

\(\Large\text{Slope} = \dfrac{\color{green}{y_2} - \color{orange}{y_1}}{\color{cyan}{x_2}-\color{red}{x_1}}\)

where you have two points
\(\Large (\color{red}{x_1}, \color{orange}{y_1})\) and \(\Large (\color{cyan}{x_2}, \color{green}{y_2})\)

So your two points are

\((\color{red}{0}, \color{orange}{4})\) and \((\color{cyan}{3}, \color{green}{97})\)

Answer 14

can you put the numbers with the match colors into the formula and solve it?

Answer 15

4 and -94

Answer 16

uh no

(97 -4) / (3 -0) = ?

Answer 17

93 and 3

Answer 18

and divide

93 / 3 =

Answer 19

31

Answer 20

\(\color{#0cbb34}{\text{Originally Posted by}}\) @iuytyuioiuytyuiop
31
\(\color{#0cbb34}{\text{End of Quote}}\)

check again

Answer 21

im not sure

Answer 22

check?

Answer 23

oh my bad

you're correct

Answer 24

thanks

Answer 25

no problem!