5.2 graphing polynomial...
TRANSCRIPT
HRW Alg 2 Lesson 5.2.notes.notebook
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October 13, 2015
Aug 304:50 PM
Unit 3, Module 5
5.2 Graphing Polynomial Functions
HRW Alg 2 Lesson 5.2.notes.notebook
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October 13, 2015
Apr 2412:47 PM
End Behavior
1. n is even and a > 0,
2. n is even and a < 0,
3. n is odd and a > 0,
4. n is odd and a < 0,
Let n = highest exponentLet a = leading coefficient
Describe the end behavior
f(x) = x3 ‐ 2x2 ‐ 5x + 3
f(x) = 1 + x ‐ x2 ‐ x3 + 2x4
HRW Alg 2 Lesson 5.2.notes.notebook
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October 13, 2015
Oct 99:13 PM
Identify whether the function graphed has an odd or even degree and a positive or negative leading coefficient.
HRW Alg 2 Lesson 5.2.notes.notebook
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October 13, 2015
Apr 158:59 AM
Graphs of Polynomials
Relative Extrema: relative (local) max/min
x‐intercepts: Also known as roots and zeros
HRW Alg 2 Lesson 5.2.notes.notebook
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October 13, 2015
Oct 99:39 PM
Find the number of turning points for each function. Then find the roots (x‐intercepts).
ex. ex.
HRW Alg 2 Lesson 5.2.notes.notebook
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October 13, 2015
Oct 99:13 PM
Write the function in factored form for each graph.
Sketching Graphs
f(x) = x(x ‐ 1)(x + 4)
x‐int: turning pts: end behavior:
Sign Chartconstant x x ‐ 1 x + 4 f(x)
HRW Alg 2 Lesson 5.2.notes.notebook
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October 13, 2015
Sketching Graphs
f(x) = ‐(x ‐ 4)(x ‐ 1)(x + 1)(x + 2)
x‐int: turning pts: end behavior:
Sign Chart
Sketching Graphs
f(x) = 2(x ‐ 3)2(x + 1)
x‐int: turning pts: end behavior:
Sign Chart
HRW Alg 2 Lesson 5.2.notes.notebook
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October 13, 2015
Oct 910:01 PM
HW 5.2 #3‐7, 9‐11, 14‐20
*local min/max only
use end behavior, intercepts, sign chart