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College Algebra
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Contents
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1
Preliminaries
Plotting Points and the Coordinate Plane
Intercepts
Order of Operations and Simplifying
Solving Equations
I
Functions and Function Notation
2
Function Notation
Evaluating Functions from a Formula
Piecewise Functions
Functions as Graphs and Tables
Algebra with Functions
Solving with Functions
Practice Problems
3
Composition
Evaluating a Composition of Functions
Simplifying a Composition of Functions
Practice Problems
4
Inverse Functions
Evaluating Inverse Functions
Finding a Formula for the Inverse
Practice Problems
II
Linear Functions
5
Linear Functions
Slope of a Line
Equation of a Line
Linear Models
Practice Problems
6
Systems of Linear Equations
Solutions to a System of Equations
Solving a System of Equations: Substitution
Solving a System of Equations: Elimination
Special Cases of Systems of Equations
Practice Problems
7
Rate of Change
Computing Average Rate of Change
Difference Quotient
Practice Problems
III
Properties of Functions
8
Domain and Range
Interval Notation
Domain from a Graph
Range from a Graph
Domain from a Formula
Practice Problems
9
Transformations
Identifying Transformations
Applying Transformations
Domain and Range of Transformations
Practice Problems
IV
Polynomial and Rational Functions
10
Polynomial Functions
Roots of Polynomials
Equation of Polynomials
End Behavior of Polynomials
11
Rational Functions
Domain of Rational Functions
End Behavior of Rational Functions
V
Exponential and Logarithmic Functions
12
Exponential Functions
Equations of Exponential Functions
The Number
\(e\)
13
Logarithmic Functions
Evaluating Logarithmic Functions
The Natural Log
14
Logarithm Properties
Combining Logarithms
Expanding Logarithms
15
Exponential and Logarithmic Equations
Solving Log and Exponential Equations
Inverses of Logs and Exponentials
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1
Preliminaries
I
Functions and Function Notation
II
Linear Functions
III
Properties of Functions
IV
Polynomial and Rational Functions
V
Exponential and Logarithmic Functions