1. 5.6 More Graphs of Polynomial Functions

2. 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

3. using SD, Descartes, IVT, & bounds thm.
Ex 2) Sketch the graph of
using SD, Descartes, IVT, & bounds thm.
Descartes:
(+): 2 or 0
(–):
: 1 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

4. 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
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)

5. Homework
#510 Pg – 30 all, omit 28 32, 36, 38 Pg , 12, 24