2-3 - 2­3.notebook November 18, 2010 2­3 Graphing...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

Ask a homework question - tutors are online