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Power Functions and Models; Polynomial Functions and Models

Power Functions and Models; Polynomial Functions and Models. February 8, 2007. Power Functions f(x)=ax n. Odd power. Polynomial Functions. Zero/Root of a Polynomial.

britanni-howell
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Power Functions and Models; Polynomial Functions and Models

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  1. Power Functions and Models; Polynomial Functions and Models February 8, 2007

  2. Power Functions f(x)=axn

  3. Odd power

  4. Polynomial Functions

  5. Zero/Root of a Polynomial • If f is a polynomial function and r is a real number for which f(r)=0, then r is called a (real) zero of f, or root of f. If r is a (real) zero of f, then • r is an x-intercept of the graph of f • (x - r) is a factor of f

  6. Multiplicity of a zero • If (x – r)m is a factor of a polynomial f and (x – r)m+1 is not a factor of f, then r is called a zero of multiplicity m of f.

  7. Turning points • If f is a polynomial function of degree n, then f has at most n-1 turning points.

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