Question

HELP! FILE ATTACHED. WILL GIVE MEDAL!!

Answer 1

What is the average rate of change for the relation shown below between x = -2 and x = 2?


Enter your answer as a reduced ratio, like this: 2/3

Answer 2

@dan815

Answer 3

@pooja195

Answer 4

@Michele_Laino

Answer 5

Draw a vertical line through x = -2. Where does this vertical line cross the parabola?

Answer 6

(-2,8)@jim_thompson5910

Answer 7

how about for x = 2 ?

Answer 8

(2,0)

Answer 9

we have the two points (-2,8) and (2,0)

Answer 10

the average rate of change from x = -2 to x = 2 is the same as the slope through those two points

Answer 11

use this slope formula

\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Answer 12

-8/4

Answer 13

which reduces to what?

Answer 14

-4

Answer 15

or is it -2

Answer 16

-8/4 = -2

Answer 17

the slope of the line through (-2,8) and (2,0) is -2

so the average rate of change is -2

Answer 18

thank you so much! @jim_thompson5910

Answer 19

you're welcome