anonymous
  • anonymous
Which function is an odd function? f(x)=0.8x^3, f(x)=5x^2, f(x)=0.7x^2 + 3, or f(x)=3x - 1.
Mathematics
jamiebookeater
  • jamiebookeater
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barrycarter
  • barrycarter
A function is odd if f(-x) = -f(x) in other words, if you negative the input, the output is negatived as well. For the first one: f(x)=0.8x^3 and f(-x)=0.8(-x)^3 which simplifies to -0.8*x^3 so that's the answer (assuming there's only one-- the others turn out to be a parabola and a straight line, and lines can only be odd if they pass through 0,0 (which this one doesn't).
mathmate
  • mathmate
hint: An odd function satisfies f(-x)=-f(x). For example, f(x)=-x is odd, because f(-x)=-(-x)=-f(x) for all values of x.

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