bellrigner – 1/30/2012 match the graph to the function: f(x) = x 3 – 2x + 2 g(x) = -2x 2 + 3...
TRANSCRIPT
BellRigner – 1/30/2012• Match the
graph to the function:
f(x) = x3 – 2x + 2
g(x) = -2x2 + 3
h(x) = x4 – 2
i(x) = -x3 – 1
A
B
C
D
Quiz – Properties of Exponents
Evaluating polynomial funcs.
• f(x) = x3 – 7x + 2
f(-3) =
f(-2) =
f(0) =
f(1) =
f(2) =
f(3) =
Graphing polynomial funcs.• f(x) = x3 – 7x + 2
f(-3) = -4
f(-2) = 8
f(0) = 2
f(1) = -4
f(2) = -4
f(3) = 8
Evaluate and graph:
• f(x) = x4 – 3x3 + 2
f(-1) =
f(0) =
f(1) =
f(2) =
f(3) =
f(4) =
Evaluate and graph:
f(-1) =
f(0) =
f(1) =
f(2) =
f(3) =
f(4) =
4 31 3( ) 4
2 2f x x x
Adding & Subtracting Polynomials
(4x2 – 6x + 7) + (–19x2 – 15x – 18)
Adding & Subtracting Polynomials
(–10x6 + 8x3 + 13) + (7x6 – 7x2 + 17)
Adding & Subtracting Polynomials
• f(x) = 2x2 – 3x + 2
• g(x) = 4x3 + x2 – 5
• f(x) + g(x) =
Adding & Subtracting Polynomials
(-9x2 - 4x - 4) – (-9x2 - 11x + 12)
Subtracting Polynomials
(8x3 – 8x – 4) – (–16x6 + 9x3 – 6x2)
Multiplying Polynomials
(6x)(11x + 7)
Multiplying Polynomials
-3x(-4x2 - 10x + 12)
Multiplying Polynomials
(-2x2 - 4x + 11)(5x - 12)
Multiplying Polynomials
BellRinger – 1/31/2012
(x – 2x2 + 4) – (4x2 – 2x – 1) =
Quiz – Simplifying Exponents
1. 2 54 4
Quiz – Simplifying Exponents
2.3 3( )x
Quiz – Simplifying Exponents
3.4 2 23x y x
Quiz – Simplifying Exponents
4. (4x2y)0 =
Quiz – Simplifying Exponents
5.7
3
x
x
Quiz – Simplifying Exponents
6.4
1
2
Quiz – Simplifying Exponents
7. 3
2 2
4
( )
x
xy
Quiz – Simplifying Exponents
8.23x
x
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Assignment… Polynomials
• p.341#15 – 45 (every 3rd problem)
BellRinger – 2/1/2012
• Give an example of a polynomial function.
BellRinger – 2/2/2012
• (x3 – 4x) – (2x3 + x – 8)
• (x + 2)(x2 – 4x – 2)
Quick Quiz - Exponents
Tomorrow…
• Quiz:–Graphs of polynomials
• Matching equation graph
• Left-hand and right-hand behavior based on even/odd, leading coefficient
–Adding and subtracting polynomials
–Multiplying polynomials
Examples – Graphing Polynomials
Function Degree Left (x-∞)
Right (x-∞)
More Review• p.344
# 19# 20# 21# 22# 23# 24# 25# 26
Write your work on a sheet of paper. We’ll show it on the camera.
Assignment… Polynomials
• p.341#15 – 45 (every 3rd problem)
To study for quiz tomorrow:
• Make sure your can do any problem from p.344 Quiz 1