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Theloshua

  • one year ago

what is the average rate of change of the function y = x2 on the interval [2,5]?

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  1. e.mccormick
    • one year ago
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    Know another name for average rate of change?

  2. Theloshua
    • one year ago
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    no...

  3. e.mccormick
    • one year ago
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    Slope.

  4. e.mccormick
    • one year ago
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    Find the slope of the line with those given x values as the x pints and use the y=x^2 to find the y parts. (x, y=x^2) for the given [2,5] so x=2 and x=5.

  5. Theloshua
    • one year ago
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    huhn? lol

  6. e.mccormick
    • one year ago
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    Average rate of change is the slope of the line defined by the end points of the sample. So for this sample range: |dw:1440119916280:dw|

  7. e.mccormick
    • one year ago
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    THe slope of this line: |dw:1440119995741:dw|

  8. Theloshua
    • one year ago
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    omg lol can you pls just explain the formula and how to walk thru the steps>

  9. e.mccormick
    • one year ago
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    Well, how do you get the slope of any line?

  10. Theloshua
    • one year ago
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    y1 + y2/x1 + x2?

  11. e.mccormick
    • one year ago
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    Close. - (y1 - y2)/(x1 - x2) OR (y2 - y1)/(x2 - x1) Either will get the same answer.

  12. Theloshua
    • one year ago
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    okay, great so now what? :/

  13. e.mccormick
    • one year ago
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    Well, you are given the domain [2,5]. Domain are x values. So that is your x1 and x2. You are given y = x^2. So use your x values to find your respective y values.

  14. Theloshua
    • one year ago
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    (2,4) and (5,10?)

  15. e.mccormick
    • one year ago
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    is that 2x or x^2?

  16. e.mccormick
    • one year ago
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    If it is 2x, then yes, it would be (5,10). But if it is x^2 (a parabola) then it would be (5, 25).

  17. Theloshua
    • one year ago
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    ohhhh pellet, your right... I knew that, silly mistake :p

  18. Theloshua
    • one year ago
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    so then I plug it in?

  19. e.mccormick
    • one year ago
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    Hehe. Yah. It happens. OK: (2,4) (5,25) Yah, plug them in.

  20. Theloshua
    • one year ago
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    and it wud be 7?

  21. e.mccormick
    • one year ago
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    Yep. (2,4) (5,25) 25-4/5-2 21/3 7 That is what I got too.

  22. Theloshua
    • one year ago
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    omg, you amazing beautiful person!!!! thnx soooo muchhhh ^-^ im now your fan :)

  23. e.mccormick
    • one year ago
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    FYI: Instant change is the slope of the tangent line. So instant change is also a slope. Rates of changes can basically be seen as a slope one way or another. This can help people visualize them on a graph...

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