Question

Find the average rate of change of each function on the interval specified.
f(x) = x^2 on [1,5]

Answer 1

I know that x^2 is the shape of a parabola.

Answer 2

average rate of change just means slope

Answer 3

so just find the slope between (1,1) and (5,25)

Answer 4

m = ysub2-ysub1/xsub2/xsub1

Answer 5

how do you format that?

Answer 6

yes

Answer 7

at the bottom of the page, there is button that says Equation. Click on it

Answer 8

so I understand where you got the 1 and 5
how did you get 1,1 and 5,25?

Answer 9

solving for slope is not difficult :)

Answer 10

f(1) = 1^2 = 1
f(5) = 5^2 = 25

so (1,1) and (5,25)

Answer 11

\[25-1/5-1 = 24/4 = 6\]

Answer 12

probably a better way to format that :)

Answer 13

average rate of change is 6

Answer 14

yes

Answer 15

I am still getting the hang of the format

Answer 16

how do you make it look all nice?

Answer 17

there are bunch of formats and symbols on the right and side when you click Equation button. Just play with it

Answer 18

that helped out
thanks!