Functions Studied in Math 101W

LINEAR FUNCTIONS

Students Should Be Able To:

Identify Linear Equations

Solve Linear Equations:

1. Addition Property
2. Multiplication Property
3. Combination Of Add. & Mult. Property

Graph Linear Equations:

1. Describe The Graph
2. Graphing Techniques

A. Creating Tables
B. Using Intercepts
C. Using Slope And y Intercept

3. Describe The Slope
4. Find The Slope
5. Find y Intercept

Identify Domain And Range Of Linear Equations

Write a linear equation when given :

A. The Slope And y Intercept
B. Two Points
C. A Point And Slope

Solve A System Of Linear Equations:

1. Graphing
2. Substitution Method
3. Addition Method

Identify Linear Inequalities

Solve Linear Inequalities:

1. Reverse Inequality
2. Inclusion/Exclusion Of Endpoints

Graphing Linear Inequalities:

1. Shading
2. Solid/Dash(Broken) Line

QUADRATIC FUNCTIONS

Students Should Be Able To:

Identify Quadratic Equations

Solve Quadratic Equations:

1. Square Root Property
2. Factoring
3. Completing The Square
4. Quadratic Formula

Graph Quadratic Equations:

1. Describe The Graph
2. Graphing Techniques
3. Find y Intercept
4. Find The Vertex
5. Find The Axis Of Symmetry
6. Vertical Translations
7. Horizontal Translations
8. Find x Intercept

Identify Domain And Range Of Quadratic Equations

Identify Quadratic Inequalities

Solve Quadratic Inequalities

CUBIC FUNCTIONS

Students Should Be Able To:

Identify Cubic Equations

Graph Cubic Equations:

1. Describe The Graph
2. Graphing Techniques

Identify Domain And Range Of Cubic Equations

ABSOLUTE VALUE FUNCTIONS

Students Should Be Able To:

Identify Absolute Value Equations

Solve Absolute Value Equations

Graph Absolute Value Equation:

1. Describe The Graph
2. Graphing Techniques

Identify Domain And Range Of Absolute Value Equations

RATIONAL FUNCTIONS

Students Should Be Able To:

Identify Rational Equations

Identify Domain And Range Of Rational Equations

Solve Rational Equations

Graph Rational Equations

1. Describe The Graph
2. Graphing Techniques

RADICAL FUNCTIONS

Students Should Be Able To:

Identify Radical Equations

Solve Radical Equations

Graph Radical Equations

Identify Domain And Range Of Radical Equations Graph Absolute Value
Equation

EXPONENTIAL FUNCTIONS

Students Should Be Able To:

Identify Exponential Equations

Graph Exponential Equations

Identify Domain And Range Of Exponential Equations

LOGARITHMIC FUNCTIONS/EQUATIONS

Students Should Be Able To:

Identify Common Logarithms

Use calculator to evaluate common logarithms

Identify Natural Logarithms

Use calculator to evaluate natural logarithms

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