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Barrelracing

  • one year ago

Describe the graph of the function f(x) = x3 − 15x2 + 68x − 96. Include the y-intercept, x-intercepts, and the shape of the graph.

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  1. Barrelracing
    • one year ago
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    x- (3,0) y- (0, -96)

  2. Nnesha
    • one year ago
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    highest degree is 3 so thats mean there supposed to be *3* solutions (x-intercept , zeros )

  3. Barrelracing
    • one year ago
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    well I already found the x and y intercept I just don't know what the graph looks like.

  4. Nnesha
    • one year ago
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    yea so i'm saying there isn't only one x-intercept x-interceptS!

  5. Barrelracing
    • one year ago
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    oh sorry read it wrong

  6. anonymous
    • one year ago
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    This is when a graphing calculator will come in handy

  7. Nnesha
    • one year ago
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    for the direction if highest degree is 3 then if leading coefficient is negative ( right end will fall , and left end will rise ) and if leading coefficient is POSITIVE ( right end rise and left end will fall)

  8. Nnesha
    • one year ago
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    and yes for x-intercepts better to graph that equation otherwise too much work to do!

  9. Barrelracing
    • one year ago
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    I'm so confused

  10. Nnesha
    • one year ago
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    are you allowed to use a calculator ?

  11. Nnesha
    • one year ago
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    http://www.wolframalpha.com/ graph t

  12. Nnesha
    • one year ago
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    or https://www.desmos.com/

  13. Barrelracing
    • one year ago
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    yes

  14. Barrelracing
    • one year ago
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    ok I put in desmos

  15. Nnesha
    • one year ago
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    cool so point where line cross x-axis is x-intercept

  16. nincompoop
    • one year ago
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    |dw:1439417584062:dw|

  17. nincompoop
    • one year ago
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    |dw:1439417740795:dw|

  18. nincompoop
    • one year ago
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    |dw:1439417894065:dw|

  19. Barrelracing
    • one year ago
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    do I plug 3,4 and 8 into the equation?

  20. Nnesha
    • one year ago
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    you can plug them into the equation to check your answer but you don't have to there are 3 points where line lince cross x-axis so 3, 4 8 = x-intercepts

  21. Barrelracing
    • one year ago
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    ok how do I find the y intercept

  22. Nnesha
    • one year ago
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    \(\color{blue}{\text{Originally Posted by}}\) @Barrelracing y- (0, -96) \(\color{blue}{\text{End of Quote}}\) y-intercept is correct point where line cross the y-axis

  23. Barrelracing
    • one year ago
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    how I find the shape of the graph?

  24. Nnesha
    • one year ago
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    look at the first drawing that's the original graph of y=x^3 equation

  25. Barrelracing
    • one year ago
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    thank you

  26. Nnesha
    • one year ago
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    \(\color{blue}{\text{Originally Posted by}}\) @Nnesha for the direction if highest degree is 3 then if leading coefficient is negative ( right end will fall , and left end will rise ) and if leading coefficient is POSITIVE ( right end rise and left end will fall) \(\color{blue}{\text{End of Quote}}\) for direction one side will rise opposite side will fall

  27. Nnesha
    • one year ago
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    my pleasure

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