Polynomial functions
- 1. Polynomial Functions PSHS Main Campus July 9, 2012 PSHS Main Campus () Polynomial Functions July 9, 2012 1/4
- 2. Polynomial Functions f (x) = an xn + ... + a1 x + a0 Given 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. Polynomial Functions f (x) = an xn + ... + a1 x + a0 Given 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. Polynomial Functions f (x) = an xn + ... + a1 x + a0 Given 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. Polynomial Functions f (x) = an xn + ... + a1 x + a0 Given 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. Polynomial Functions f (x) = an xn + ... + a1 x + a0 Given 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. Polynomial Functions Properties 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. Graphing Polynomial Functions Information 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