cookiimonster627
  • cookiimonster627
what is the maximum number of turns in the graph of f(x)=x^4-x^3+3x+1??
Mathematics
katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
Max number of turns in a quadratic (highest term has x^2) |dw:1443399454252:dw|
jim_thompson5910
  • jim_thompson5910
max number of turns of a cubic (highest term has x^3) is 2 |dw:1443399505452:dw|
jim_thompson5910
  • jim_thompson5910
the pattern continues max number of turns of an nth degree polynomial = n-1

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cookiimonster627
  • cookiimonster627
so the answer would be 1?
jim_thompson5910
  • jim_thompson5910
what's the degree of `x^4-x^3+3x+1`
cookiimonster627
  • cookiimonster627
4
cookiimonster627
  • cookiimonster627
jim_thompson5910
  • jim_thompson5910
n = 4 is correct yes so there will be n-1 = 4-1 = 3 turning points max |dw:1443400115173:dw|
cookiimonster627
  • cookiimonster627
thank you
jim_thompson5910
  • jim_thompson5910
no problem

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