Chapter 2
Section 4
Complex Numbers Imaginary Numbers
0 Ima inarv Unit: the unit 1 can be used to write the s uare root
g 1
of any negative number.
Pattern? Complex Numbers
0 A com lex number written in standard form is a number
P
a+bi. where a and b are
Pre-Calculus/Trig3
2.6 Rational Functions and Asymptotes
Name
Block
Date
Rational Functions:
Discontinuous Functions:
Examples of Rational Functions
1. y
1
x
2. y
1
x 2
3.
5
x 9
2
Two types of discontinuity
1.
2.
a)
b)
c)
Type 1: Point/Hole Discontinuit
Pre-Calculus
1-9 Inverse Relations and Functions
Name
Block
Date
Graph:
y = x2 + 5
Function?
Find the inverse:
Function?
Original and Inverse Relations:
Function Line Tests:
Vertical Lines Test
Horizontal Line Test
Determine if f(x) = x3
and f-1(x) are fu
Pre-Calculus/Trig 3
1.6-1.10 Review
Name
Block
Date
State the parent graph and any transformations and sketch a graph of each of the following equations.
1) f ( x) ( x 3) 2 4
4) f ( x)
1
3
x 2
7) f ( x ) x 2 2
2) f ( x) x 3
3) f(x) = | x 3| + 1
5) f ( x)
Pre-Calculus/Trig3
1.6 Parent Graphs
Name
Block
Date
1.
2.
3.
4.
5.
6.
7.
8.
Linear Transformations:
Reflections
y = f (x)
Is reflected over the x-axis
y = f (x)
Is reflected over the y-axis
Translations
y = f (x) + c
Translates the graph c units up
y = f