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
Simple
Parent function: 1/x
All functions with a number over x have the same asymptotes and domain and range.
Translations: formula is a/(x-h)+k
h is the vertical asymptote and y is the horizontal asymptote
Then graph
Different form: ax+b/cx+d
HA: is a/c and VA: the zeroes of cx+d
General
To find the graph of a rational functions:
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