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cookiimonster627

  • one year ago

what is the maximum number of turns in the graph of f(x)=x^4-x^3+3x+1??

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  1. jim_thompson5910
    • one year ago
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    Max number of turns in a quadratic (highest term has x^2) |dw:1443399454252:dw|

  2. jim_thompson5910
    • one year ago
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    max number of turns of a cubic (highest term has x^3) is 2 |dw:1443399505452:dw|

  3. jim_thompson5910
    • one year ago
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    the pattern continues max number of turns of an nth degree polynomial = n-1

  4. cookiimonster627
    • one year ago
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    so the answer would be 1?

  5. jim_thompson5910
    • one year ago
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    what's the degree of `x^4-x^3+3x+1`

  6. cookiimonster627
    • one year ago
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    4

  7. cookiimonster627
    • one year ago
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    @jim_thompson5910

  8. jim_thompson5910
    • one year ago
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    n = 4 is correct yes so there will be n-1 = 4-1 = 3 turning points max |dw:1443400115173:dw|

  9. cookiimonster627
    • one year ago
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    thank you

  10. jim_thompson5910
    • one year ago
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    no problem

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