# 2-3 - 2­3.notebook 2­3 Graphing polynomial functions I...

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Unformatted text preview: 2­3.notebook November 18, 2010 2­3 Graphing polynomial functions I. Cubics • sideways S, unbroken • if a > 0, rises L to R • if a < 0, falls L to R Oct 8­8:17 AM y = ax +bx +cx +d 3 2 if a > 0 10 by 10 dot paper 1 2­3.notebook November 18, 2010 if a < 0 Oct 8­8:31 AM sketching cubics Ex. (x + 1)(x ­ 1)(x ­ 2) 1. find and plot the zeros (these are the x­intercepts) x = ­1, x = 1, x = 2 2. do sign test (this is where graph is below or above the x­axis) 3. graph Oct 8­8:36 AM 2 2­3.notebook November 18, 2010 H.W. p.66 1­6 Ex. 2 x(x + 2)(x ­ 1) Ex.3 ­x(x + 2)(x ­ 1) Oct 8­8:39 AM More cubics Factor and graph 1. (x3 ­ 2x2)(­4x + 8) h.w. p.66 13,14,30 2. x3 ­4x Oct 8­8:49 AM 3 2­3.notebook November 18, 2010 Quartics f(x) = ax4 + bx3 + cx2 +dx +e W ­ shape if a > 0 M ­ shape if a < 0 continuous if a > 0, rises L to R if a < 0, falls L to R Oct 8­10:22 AM if a > 0 Oct 8­10:26 AM 4 2­3.notebook November 18, 2010 if a < 0 Oct 8­10:27 AM graphing quartics ­ sign test Ex. 1 x(1 ­ x)(1 + x)(2 + x) Ex. 2 (x + 1)3(x ­2) Oct 8­10:28 AM 5 2­3.notebook November 18, 2010 Ex. 3 x2(x2 ­ 1) H.W. p.66 8­10, 16, 17, 21­24 Oct 8­10:30 AM 6 ...
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