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anonymous

  • 4 years ago

Find the average rate of change of the function y = x^2 - 3x + 5 over the interval [-1,3]

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  1. amistre64
    • 4 years ago
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    \[\frac{f(3)-f(-1)}{3--1}\]

  2. amistre64
    • 4 years ago
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    hopefully, you know what f(3) and f(-1) mean :)

  3. amistre64
    • 4 years ago
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    f(3) = 3^2 - 3(3) + 5 = 5 f(-1) = (-1)^2 -3(-1) + 5 = 10

  4. amistre64
    • 4 years ago
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    5 - 10 ----- = avg rate of change 4

  5. amistre64
    • 4 years ago
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    3+1 = 4 + 5 = 9 , not 10

  6. amistre64
    • 4 years ago
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    sooo close lol

  7. amistre64
    • 4 years ago
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    5-9 ---- = -1 then :) 4

  8. anonymous
    • 4 years ago
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    yes, thank you it is the derivative of b minus deriv of a, all over function b - function a

  9. anonymous
    • 4 years ago
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    right...

  10. amistre64
    • 4 years ago
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    derivatives are instantaneous rates of change; average rates are just last - first divided by well, b-a

  11. amistre64
    • 4 years ago
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    i wonder if derivs work out as well 2x-3; 2-3 = -1 , 6-3 = 3 -1-3 ---- = -1 hmmm, might be on to something there 3+1

  12. myininaya
    • 4 years ago
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    you are just looking for the slope of the secant line that lies on the curve y=x^2-3x+5 touching the two points (-1,f(-1)) and (3,f(3))

  13. amistre64
    • 4 years ago
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    nope, 2(-1)-3 = -5

  14. myininaya
    • 4 years ago
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    so basically you learn how to find average rate of change in algebra

  15. myininaya
    • 4 years ago
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    its just the slope of a line

  16. amistre64
    • 4 years ago
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    farm says I shouldnt harass you for your banning techniques :)

  17. myininaya
    • 4 years ago
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    shhh i will accidentlly ban you

  18. amistre64
    • 4 years ago
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    :) practice makes perfect

  19. anonymous
    • 4 years ago
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    wait, i am confused a little bit, what do i do in simple steps to solve this?

  20. amistre64
    • 4 years ago
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    (3^2-3(3)+5) - ((-1)^2-3(-1)+5) ----------------------------- 3-(-1)

  21. amistre64
    • 4 years ago
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    |dw:1327862346587:dw|

  22. anonymous
    • 4 years ago
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    that is equal to -1 right

  23. amistre64
    • 4 years ago
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    the avg rate of change is just the slope of the line between 2 points

  24. amistre64
    • 4 years ago
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    the instant rate of change is the slope of the tangent line to the curve at a point; also known as the derivative

  25. anonymous
    • 4 years ago
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    okay, i'm good

  26. amistre64
    • 4 years ago
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    yay!! :)

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