Download CH2.2.a DAY 36 Leading Coefficient test.notebook

CH2.2.a DAY 36 Leading Coefficient test.notebook
DAY 36
February 2/3, 2015
February 03, 2015
EW
HAPPY N
R !!!
SEMESTE
DO NOW : DISTRIBUTE FINAL EXAMS and GRADED WORK
CLASS OPENER : Write three "I CAN" statements that represent mathematical skills that were your strengths in SEM 1. for example: I can arrange numbers in numerical order. (this is just an example, your statements should be relevant to topic we covered in SEM 1 of THIS course! Write three "I STRUGGLED TO" statements that represent mathematical skills that were your weaknesses in SEM 1. for example: I struggled to arrange numbers in numerical order. (this is just an example, your statements should be relevant to topic we covered in SEM 1 of THIS course! Students share some of the strengths and weaknesses with the class.
> are these all mostly from the end of SEM 1? > what was the biggest challenge of the final exam?
NEW SEM = NEW BEGINNING = SBG
1
CH2.2.a DAY 36 Leading Coefficient test.notebook
February 03, 2015
GO OVER NEW SYLLABUS and
GRADING CHANGES
Lesson 2.2.
POLYNOMIAL FUNCTIONS OF HIGHER DEGREE (page 99)
Vocabulary:
• A function is said to be continuous if the graph has no breaks, holes, or gaps. “domain is w/o bound/ restrictions” • Polynomial function can have no sharp edges. For example abs value is NOT a polynomial function
• To find the degree of a function, look for the highest degree represented in the polynomial’s equation. • The leading coefficient is the number connected to the highest degree term
Example: 2
CH2.2.a DAY 36 Leading Coefficient test.notebook
February 03, 2015
End behavior of a polynomial function. Given f(x)= 2x2­7x­4 identify :
zeroes (in function notation!)
x­intercepts
y­intercept
vertex
Given f(x)= 2x2­7x­4 identify :
zeroes (in function notation!)
x­intercepts
y­intercept
vertex
END BEHAVIOR (using limit notation)
3
CH2.2.a DAY 36 Leading Coefficient test.notebook
February 03, 2015
NOTES: x--> ∞ is the RIGHT side of the graph and x--> -∞ is the RIGHT side of the graph
if the function is increasing, it approaches/goes to infinity, if the function is decreasing, it approaches -∞
Positive leading coefficient,
Even power
Negative leading coefficient,
Even power
Positive leading coefficient,
Odd power
Negative leading coefficient,
Odd power
4
CH2.2.a DAY 36 Leading Coefficient test.notebook
February 03, 2015
2.2. Investigation Part 2
The following graphs or equations can be characterized into four groups based on a specific feature of their graphs. Find the four groups and what distinguishes them.
f(x) = ­2x4 ­ x3 + 3
h(x) = x6
g(x) = x5 + 3x2 ­ x
k(x) = ­3x3 + 2x
n(x) = x3 + 2x ­ 4
p(x) = x2 + 3x ­ 5
m(x) = ­4x5 ­ 3
q(x) = ­6x4 + 3x2 ­ 2x + 4
Group 1 EVEN POWER
Group 2 ODD POWER
Group 3:
Group 4:
5
CH2.2.a DAY 36 Leading Coefficient test.notebook
February 03, 2015
OTL:Learning Goal 2.2.a Identify the end behavior of a polynomial function using teh leading coefficient test. Page108 #1­11 17­23 odd 6