5.6 More Graphs of Polynomial Functions

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Presentation transcript:

5.6 More Graphs of Polynomial Functions

Irreducible quadratic factor that’s always positive Ex 1) Sketch the graph of Real Zeros: x = 0 (mult 2) Irreducible quadratic factor that’s always positive x y -3 - (-3)2 ((-3) 2 +1) = -90 -2 - (-2)2 ((-2) 2 +1) = -20 -1 - (-1)2 ((-1) 2 +1) = -2 1 - (1)2 ((1) 2 +1) = -2 2 - (2)2 ((2) 2 +1) = -20

using SD, Descartes, IVT, & bounds thm. Ex 2) Sketch the graph of using SD, Descartes, IVT, & bounds thm. Descartes: (+): 2 or 0 (–): : 1 1 0 -3 4 1 1 1 -2 2 2 1 2 1 6 Upper -1 1 -1 -2 6 -2 1 -2 1 2 I.V.T. -3 1 -3 6 -14 Lower x y

using SD, Descartes, IVT, & bounds thm. T.O.O. Ex 3) Sketch the graph of using SD, Descartes, IVT, & bounds thm. Descartes: (+): 2 or 0 (–): : 1 1 -1 -3 1 I.V.T. 1 1 -3 -2 2 1 1 -1 -1 I.V.T. 3 1 2 3 10 Upper -1 1 -2 -1 2 I.V.T. Fill in more points -2 1 -3 3 -5 (.5, -.6) (1.5, -2.4) Lower (2.5, 2.9) (-.5, 2.1) x y (-1.5, -.125)

Homework #510 Pg. 318 25 – 30 all, omit 28 32, 36, 38 Pg. 302 4, 12, 24