Study Guide
Home
Functions
Parent Functions and Translations
Piecewise Functions
Chapter 1
Graph Quadratics in Different Forms
Factoring
Find the Square
Complex Numbers
Complete the Square
The Quadratic Formula
Chapter 2
Properties of Exponents
Graphing Polynomial Functions
Add, Subtract, and Multiply Polynomials
Factor and Solve Polynomials
Remainder and Factor Theorem
Rational Zeros
Find the Number of Zeros
Graph Polynomials
Chapter 3
nth Roots and Rational Exponents
Properties of Rational Exponents
Function Operations and Compostition
Inverse Functions
Graph Square Root and Cube Root Functions
Solve Radical Equations
Chapter 4
Graph Exponential Growth and Decay Functions
Functions Involving e
Evaluate and Graph Logarithms
Properties of Logarithms
Solve Exponential and Logarithmic Functions
Chapter 5
Graph Rational Functions
Operations with Rational Functions
Solve Rational Equations
Review
Test Your Skills
Chapter 4 Review
Ways to Factor
Factor out the GCF
Cross factor
Draw an x. Write the factors of ax on one side, and the factors of c on the other. Multiply and add to change negativity and add up to b.
Special Factoring Patterns:
Difference of 2 squares: a^2-b^2 --> (a-b)(a+b)
Perfect Square Trinomial:
a^2+2ab+b^2= (a+b)^2
a^2-2ab+b^2= (a-b)^2
The Zero Product Property states that is two expressions are multiplies to equal zero, each expression is equal to zero.
Home
Functions
Parent Functions and Translations
Piecewise Functions
Chapter 1
Graph Quadratics in Different Forms
Factoring
Find the Square
Complex Numbers
Complete the Square
The Quadratic Formula
Chapter 2
Properties of Exponents
Graphing Polynomial Functions
Add, Subtract, and Multiply Polynomials
Factor and Solve Polynomials
Remainder and Factor Theorem
Rational Zeros
Find the Number of Zeros
Graph Polynomials
Chapter 3
nth Roots and Rational Exponents
Properties of Rational Exponents
Function Operations and Compostition
Inverse Functions
Graph Square Root and Cube Root Functions
Solve Radical Equations
Chapter 4
Graph Exponential Growth and Decay Functions
Functions Involving e
Evaluate and Graph Logarithms
Properties of Logarithms
Solve Exponential and Logarithmic Functions
Chapter 5
Graph Rational Functions
Operations with Rational Functions
Solve Rational Equations
Review
Test Your Skills
Chapter 4 Review