## anonymous one year ago HELP! FILE ATTACHED. WILL GIVE MEDAL!!

1. anonymous

2. anonymous

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

3. anonymous

@dan815

4. anonymous

@pooja195

5. anonymous

@Michele_Laino

6. jim_thompson5910

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

7. anonymous

(-2,8)@jim_thompson5910

8. jim_thompson5910

how about for x = 2 ?

9. anonymous

(2,0)

10. jim_thompson5910

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

11. jim_thompson5910

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

12. jim_thompson5910

use this slope formula $\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

13. anonymous

-8/4

14. jim_thompson5910

which reduces to what?

15. anonymous

-4

16. anonymous

or is it -2

17. jim_thompson5910

-8/4 = -2

18. jim_thompson5910

the slope of the line through (-2,8) and (2,0) is -2 so the average rate of change is -2

19. anonymous

thank you so much! @jim_thompson5910

20. jim_thompson5910

you're welcome