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Polynomial functions

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Polynomial functions

  1. 1. Polynomial Functions PSHS Main Campus July 9, 2012PSHS Main Campus () Polynomial Functions July 9, 2012 1/4
  2. 2. Polynomial Functionsf (x) = an xn + ... + a1 x + a0Given the graph on the right,identify: 1 If n is odd or even. 2 The sign of an . 3 The lowest possible value of n. 4 The number of real zeroes of the function. PSHS Main Campus () Polynomial Functions July 9, 2012 2/4
  3. 3. Polynomial Functionsf (x) = an xn + ... + a1 x + a0Given the graph on the right,identify: 1 If n is odd or even. 2 The sign of an . 3 The lowest possible value of n. 4 The number of real zeroes of the function. PSHS Main Campus () Polynomial Functions July 9, 2012 2/4
  4. 4. Polynomial Functionsf (x) = an xn + ... + a1 x + a0Given the graph on the right,identify: 1 If n is odd or even. 2 The sign of an . 3 The lowest possible value of n. 4 The number of real zeroes of the function. PSHS Main Campus () Polynomial Functions July 9, 2012 2/4
  5. 5. Polynomial Functionsf (x) = an xn + ... + a1 x + a0Given the graph on the right,identify: 1 If n is odd or even. 2 The sign of an . 3 The lowest possible value of n. 4 The number of real zeroes of the function. PSHS Main Campus () Polynomial Functions July 9, 2012 2/4
  6. 6. Polynomial Functionsf (x) = an xn + ... + a1 x + a0Given the graph on the right,identify: 1 If n is odd or even. 2 The sign of an . 3 The lowest possible value of n. 4 The number of real zeroes of the function. PSHS Main Campus () Polynomial Functions July 9, 2012 2/4
  7. 7. Polynomial FunctionsProperties of Graphs an n Description (+) even comes down from left, goes up to the right (+) odd up from left, up to right (−) even up from left, down to right (−) odd down from left, down to right Maximum number of turning points = n − 1 PSHS Main Campus () Polynomial Functions July 9, 2012 3/4
  8. 8. Graphing Polynomial FunctionsInformation needed to graph Polynomial Functions 1 Identify behavior at left and right sides of the graph. 2 Identify zeros of the graph. 3 Identify y-intercept.Graph the following: 1 f (x) = (x2 − 1)(x + 2) 2 g(x) = (2 − x)(x − 3)(x + 1)(x − 1) PSHS Main Campus () Polynomial Functions July 9, 2012 4/4

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