MATH 103 Final Exam Review

1.1 Intro to Graphing

Aug 25, 2015

Graphing Equations
Intercepts
Distance Formula
Midpoint Formula
Circles

Chapter 1: Graphs, Functions, and Models

Period: Aug 25, 2015 to Sep 3, 2015

Graphs, Functions, Lines

1.2 Functions and Graphs

Aug 27, 2015

Function Definition
Vertical-Line Test
Domain
Range

1.3, 1.4: Linear Functions

Sep 1, 2015

Slope
Slope-Intercept Form
Point Slope Form
Horizontal & Vertical Lines
Parallel & Perpendicular Lines

1.5: Linear Functions, Zeros

Sep 3, 2015

Solving Linear Equations (one, no solutions, all real numbers)
Zeros of a Function

2.1: Increasing, decreasing, piecewise functions

Sep 8, 2015

Piecewise Functions
Increasing, Decreasing, and Constant Functions
Relative Maxima & Minima

Chapter 2: More on Functions

Period: Sep 8, 2015 to Oct 6, 2015

2.2: Algebra of Functions

Sep 10, 2015

Sums, Differences, Products, and Quotients of Functions
Domains of f+g, f-g, fg, and f/g
The Difference Quotient

2.3: Composition of Functions

Sep 15, 2015

Composition of Functions

2.4: Symmetry

Sep 17, 2015

Determining Symmetry Even and Odd Functions

2.5: Graphing by Transformation

Sep 29, 2015

Shifting, Reflecting, Stretching/Compressing Graphs

2.6: Variation

Oct 6, 2015

Direct & Inverse Variation

3.1: Complex numbers

Oct 8, 2015

Definition of a Complex Number
Adding and Subtracting Complex Numbers
Multiplying Complex Numbers

Chapter 3 Quadratic Functions and Equations; Inequalities

Period: Oct 8, 2015 to Oct 27, 2015

3.2: Quadradic/Quadradic-like Functions

Oct 13, 2015

Standard Form of a Quadratic Formula
Zero Product Property & Factoring
Square Root Method
Completing the Square
Quadratic Formula
Discriminant
Quadratic in Form

3.3: Graphing Quadradic Functions

Oct 15, 2015

Vertex Form of a Parabola

3.4: Rational and Radical Equations

Oct 20, 2015

Solving Rational Equations
Solving Radical Equations

3.5: Absolute Value

Oct 22, 2015

Solving Absolute Value Equations
Solving Absolute Value inequalities

5.1: Inverse Functions

Nov 3, 2015

Inverse Functions
Horizontal-Line Test
Finding an Inverse Verifying Inverses

Chapter 5

Period: Nov 3, 2015 to Nov 25, 2015

Exponential and Logarithmic Functions

5.2: Exponential Functions

Nov 5, 2015

Exponential Functions
Where does "e" come from? and Compound Interest

5.3: Logarithmic Functions

Nov 10, 2015

Solve Applications with Logs (pH, Magnitude, Decibels)
Intro to Logarithms
Common Log (base 10)
Natural Logarithm

5.4: Log Properties

Nov 12, 2015

Log Properties
Product Rule
Power Rule
Quotient Rule
Convert between Logs and Exponentials

5.5: Solving Exp and Log Equations

Nov 17, 2015

Solve Exponential Equations
Solve Logarithmic Equations