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Section 2.6
Rational Functions I
Do Now: (Do Not Use your calculator)
Sketch the graph of :
y = 2( x + 1)( x 1)( x + 2) 2
Homework: (Three Days)
1 29 (odd)
Rational Functions
A Rational Function is a function of the form
N ( x)
R ( x) =
D ( x)
Where N(x)
Section 2.5
The Fundamental
Theorem of Algebra
Do Now:
Find the product:
( a )( 2 + i )( 2 i )
( b )( 3i )( 3i )
Find the solutions and CHECK! x 2 8 x + 17 = 0
Homework: (Three Days)
11 33 (odd), 35, 37, 45 51 (odd)
The Fundamental Theorem of Algebra
If f
Section 2.1
Quadratic Functions
Do Now:
(a b) 2 = a 2 2ab + b 2
Using the binomial square formula:
find:
1.
( x + 3)
2
2. ( x 5)
2
3. (2 x 7)
Homework:
11, 15, 17, 23, 27, 32, 33, 39, 49, 53, 61* (Two Days)
2
Quadratic Functions
Quadratic Function General
Section 2.2
Polynomial Functions
Do Now:
Sketch the graph of the quadratic function by completing the square.
Determine: intercepts, max/min, intervals where the function increases or
decreases, domain and range.
y = 3x 2 24 x + 42
Homework: (Four Days)
1
Section 2.3
Real Zeros of Polynomial
Functions
Today: Long Division of polynomials.
Do Now:
Analyze the graph of: f ( x ) = 2( x + 1) 2 ( x 2)( x 3)
Write in Vertex form and find all intercepts: g ( x ) = 2 x 2 12 x 8
Homework: (Five Days)
1 - 11 (odd), 1
Section 1.4
Transformations:
Shifting and Reflections
Do Now (1):
Sketch the graph of the function. Determine domain and range.
x 2 1 2 x 0
f ( x) = x 1
0< x2
1
x>2
Homework: (Three Days)
1.4: 5, 9, 11, 13, 21, 23, 51, 57, 59, 63
Shifting Transformations
Section 1.3
Graphs of Functions. Library of Functions.
Do Now:
1. Determine the domain of:
(a) f ( x) = 3 + x 2
x +1
+1
(b) f ( x) =
x+5
(c ) f ( x ) = x + 2
Homework: (Three Days)
1.3: 3, 5, 7, 9, 25, 27, 31, 33, 45, 47, 53, 67
Increasing Functions
A fu
Section 2.4
Complex Numbers
Do Now:
Using the rational root theorem, synthetic division and your graphing
calculator, find all real solutions of the equation:
x5 x 4 5 x3 x 2 6 x = 0
Write a complete factor form version of the polynomial function above, u
Section 1.6
Inverse Functions
Do Now:
Find the resulting function and the domain of ( f
a.
f ( x) =
2
and g ( x) = x 1
x
g )( x) and ( g
b. f ( x) =
f )( x ) given
x and g ( x) =
Homework: (Two Days)
1.6: 5, 7, 9, 13, 17, 33, 37, 53, 63, 65, 67, 83
1
x4
O
Section 1.2 Functions
Do Now:
Find an equation of a line passing through ( 4,3) and ( 4, 1)
Homework: (One Day)
Section 1.2: 1, 5, 9, 29, 37, 55, 57, 71*
Functions
Let X and Y be two nonempty sets. A function
from X into Y is a rule or a correspondence th
Prob & Stat
Activity 1.1: The Real Facts
NAME:
THE REAL FACTS
Directions: Answer the following questions. All results MUST be typed, and all answers should be in grammatically
cor
Final Exam: Review
Probability & Statistics
NAME:
1. What term best describes a histogram with a population distribution in which both sides are more or less the same
when the graph is folded vertically down the middle?
2. Which would be best suited for d
Probability & Statistics
Pre-
Course worksheet
NAME:
DATE:
Period:
Pre-Test
Directions: Complete the following questions. You may not know or remember how to do all of th
Probability & Statistics
Mid-Term Exam Review
NAME:
1. Brookridge College did a survey of former students who were incoming freshmen 8 years ago. Of these former
students some graduated from college and some dropped out and did not graduate. Some were ear