anonymous
  • anonymous
HELP! FILE ATTACHED. WILL GIVE MEDAL!!
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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anonymous
  • 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
anonymous
  • anonymous
@dan815

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anonymous
  • anonymous
@pooja195
anonymous
  • anonymous
@Michele_Laino
jim_thompson5910
  • jim_thompson5910
Draw a vertical line through x = -2. Where does this vertical line cross the parabola?
anonymous
  • anonymous
(-2,8)@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
how about for x = 2 ?
anonymous
  • anonymous
(2,0)
jim_thompson5910
  • jim_thompson5910
we have the two points (-2,8) and (2,0)
jim_thompson5910
  • jim_thompson5910
the average rate of change from x = -2 to x = 2 is the same as the slope through those two points
jim_thompson5910
  • jim_thompson5910
use this slope formula \[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]
anonymous
  • anonymous
-8/4
jim_thompson5910
  • jim_thompson5910
which reduces to what?
anonymous
  • anonymous
-4
anonymous
  • anonymous
or is it -2
jim_thompson5910
  • jim_thompson5910
-8/4 = -2
jim_thompson5910
  • jim_thompson5910
the slope of the line through (-2,8) and (2,0) is -2 so the average rate of change is -2
anonymous
  • anonymous
thank you so much! @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
you're welcome

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