anonymous
  • anonymous
Use the following graph of the function f(x) = 2x3 + x2 − 3x + 1 to answer this question: What is the average rate of change from x = −1 to x = 1?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
Anyone help me please
anonymous
  • anonymous
@iGreen please help me

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anonymous
  • anonymous
help please
anonymous
  • anonymous
someone please help
anonymous
  • anonymous
@jigglypuff314 help me please
iGreen
  • iGreen
When x = -1, what does y = ?
iGreen
  • iGreen
What about when x = 1?
iGreen
  • iGreen
Tell me those
iGreen
  • iGreen
Yep!
anonymous
  • anonymous
and y=0 for x=1
iGreen
  • iGreen
No..that's incorrect.
iGreen
  • iGreen
Locate '1' on the x-axis..go up till' you reach the line..then go to the left until you reach the y-axis..what number do you come up with?
iGreen
  • iGreen
If y = 0, the line would be on the x-axis at x = 1.
anonymous
  • anonymous
y=1 for x=1
iGreen
  • iGreen
Correct..now we have two points. (-1, 3) and (1, 1) Rate of change is the same thing as slope, so plug these two points into the slope formula.
iGreen
  • iGreen
\(\sf m = \dfrac{y_2-y_1}{x_2-x_1}\) (-1, 3), (1, 1) x1 y1 x2 y2 Plug them in and simplify..tell me what you get.
anonymous
  • anonymous
1-3/1-(-1)=-2/2=-1
anonymous
  • anonymous
|dw:1435757319125:dw|
iGreen
  • iGreen
\(\Huge\color{lime}\checkmark\) That's our answer
anonymous
  • anonymous
thank you
iGreen
  • iGreen
No problem.
anonymous
  • anonymous
thank you so much

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