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anonymous

  • one year ago

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?

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    Anyone help me please

  3. anonymous
    • one year ago
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    @iGreen please help me

  4. anonymous
    • one year ago
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    help please

  5. anonymous
    • one year ago
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    someone please help

  6. anonymous
    • one year ago
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    @jigglypuff314 help me please

  7. iGreen
    • one year ago
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    When x = -1, what does y = ?

  8. iGreen
    • one year ago
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    What about when x = 1?

  9. iGreen
    • one year ago
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    Tell me those

  10. iGreen
    • one year ago
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    Yep!

  11. anonymous
    • one year ago
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    and y=0 for x=1

  12. iGreen
    • one year ago
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    No..that's incorrect.

  13. iGreen
    • one year ago
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    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?

  14. iGreen
    • one year ago
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    If y = 0, the line would be on the x-axis at x = 1.

  15. anonymous
    • one year ago
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    y=1 for x=1

  16. iGreen
    • one year ago
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    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.

  17. iGreen
    • one year ago
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    \(\sf m = \dfrac{y_2-y_1}{x_2-x_1}\) (-1, 3), (1, 1) x1 y1 x2 y2 Plug them in and simplify..tell me what you get.

  18. anonymous
    • one year ago
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    1-3/1-(-1)=-2/2=-1

  19. anonymous
    • one year ago
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    |dw:1435757319125:dw|

  20. iGreen
    • one year ago
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    \(\Huge\color{lime}\checkmark\) That's our answer

  21. anonymous
    • one year ago
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    thank you

  22. iGreen
    • one year ago
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    No problem.

  23. anonymous
    • one year ago
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    thank you so much

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