# College Algebra

**Review Topics**

Factoring Difference of Squares

**Chapter 1 Topics**

Solve quadratic using square root property

Solve Quadratic by completing the square

Solving Radical Equations with One Radical

Solving Radical Equations with Two Radicals

Ex 1: Solving Rational Equations

Ex 2: Solving Rational Equations

Ex 3: Solving Rational Equations

Chapter 2 Topics

Find the Endpoint of a Segment Given the Midpoint and One Endpoint

Graphing a Piecewise Function

Ex: Determine Function Values for a Piecewise Defined Function

Ex 1: Graph a Piecewise Defined Function

Ex 2: Graph a Piecewise Defined Function

Ex 3: Graph a Piecewise Defined Function

Ex 1: Determine the Function From the Graph of a Piecewise Defined Function

Ex 2: Determine the Function From the Graph of a Piecewise Defined Function

Difference Quotient

Ex 1: The Difference Quotient (Linear Function)

Ex 2: The Difference Quotient (Quadratic Function)

Ex 3: The Difference Quotient (Quadratic Function)

Composite Functions

Ex: Evaluate Composite Functions Using Tables of Values

Ex: Evaluate Composite Functions from Graphs

Ex 1: Determine Composite Function Values Using Table, Graph, and Function Rule

Ex 2: Determine Composite Function Values Using Table, Graph, and Function Rule

Ex 1: Composite Function Values

Ex 2: Composite Function Values

Ex 1: Composition of Functions

Ex 1: Find Composite Function Values

Ex 1: Determine Composite Function Values Using Table, Graph, and Function Rule

Ex 2: Determine Composite Function Values Using Table, Graph, and Function Rule

Ex 1: Domain of a Composite Function

Ex 2: Domain of a Composite Function

**Translations, Reflections, Stretches/Shrinks**

Reflections of the Square Root Function

Horizontal and Vertical Shifts of the Square Root Function

Horizontal and Vertical Stretches and Compressions of the Square Root Function

Match the Graph of a Horizontal and Vertical Shifted Graph to the Function

Graphing Rational Functions

Domain of a Composite Function

Graph a Quadratic Function in Standard Form

Graph a Quadratic Function in General Form

Find the Zeros of a Polynomial Function - Real Rational Zeros

Find the Zeros of a Polynomial Function with Irrational Zeros

Graphing Higher Degree Polynomial

Ex 1: Graphing Rational Functions

Ex 2: Graphing Rational Functions

Ex 3: Graphing Rational Functions

Ex 4: Graphing Rational Functions

Ex 5: Graphing Rational Functions

Ex 6: Graphing Rational Functions

Finding the zeroes of a higher degree polynomial

Ex 6: Find the Zeros of a Degree 4 Polynomial Function

Ex 7: Find the Zeros of a Degree 5 Polynomial Function

**Additional Video Resources of Assorted Topics**

Match exponential functions to their graphs

Ex: Solve a Basic Exponential Equation with Base Ten Using Logarithm Definition

Ex: Solve a Exponential Equation with Base Ten Using Logarithm Definition (Multiple Steps)

Ex: Solve a Basic Exponential Equation with Base e Using Logarithm Defintion

Ex: Solve a Exponential Equation with Base e Using Logarithm Definition (Multiple Steps)

Solve a Log Equation with Two Logs Equal to Each Other

Ex: Solve a Logarithmic Equations - One Step by Dividing with Rational Solution

Ex: Solve a Logarithmic Equations - One Step by Dividing with Irrational Solution

Ex: Solve a Logarithmic Equations - One Step by Dividing with Log of a Quantity

Ex: Solving a Variety of Logarithmic Equations

Ex: Solve a Basic Logarithmic Equation - Linear and Quadratic

Ex: Solve Basic Logarithmic Equation - Radicals

Ex: Solve Logarithmic Equations Containing Only Logarithms

Ex: Solve a Logarithmic Equation With a Difference - Linear

Ex: Solve a Logarithmic Equation With a Sum - Quadratic Formula

Ex: Solve a Logarithmic Equation With a Difference - Quadratic Formula

Ex: Solve a Logarithmic Equation Requiring the Quadratic Formula