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College Algebra
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1
Preliminaries
1.1
Plotting Points and the Coordinate Plane
1.2
Intercepts
1.3
Order of Operations and Simplifying
1.4
Solving Equations
I
Functions and Function Notation
2
Function Notation
2.1
Evaluating Functions from a Formula
2.2
Piecewise Functions
2.3
Functions as Graphs and Tables
2.3.1
Functions as Graphs
2.3.2
Functions as Tables
2.4
Algebra with Functions
2.5
Solving with Functions
2.6
Practice Problems
3
Composition
3.1
Evaluating a Composition of Functions
3.2
Simplifying a Composition of Functions
3.3
Practice Problems
4
Inverse Functions
4.1
Evaluating Inverse Functions
4.2
Finding a Formula for the Inverse
4.3
Practice Problems
II
Linear Functions
5
Linear Functions
5.1
Slope of a Line
5.2
Equation of a Line
5.2.1
Writing the Equation when Given Slope
5.2.2
Writing the Equation when Not Given Slope
5.2.3
Special Cases: Vertical and Horizontal Lines
5.3
Linear Models
5.4
Practice Problems
6
Systems of Linear Equations
6.1
Solutions to a System of Equations
6.2
Solving a System of Equations: Substitution
6.3
Solving a System of Equations: Elimination
6.4
Special Cases of Systems of Equations
6.5
Practice Problems
7
Rate of Change
7.1
Computing Average Rate of Change
7.2
Difference Quotient
7.3
Practice Problems
III
Properties of Functions
8
Domain and Range
8.1
Interval Notation
8.1.1
Endpoints
8.1.2
Unbounded Intervals
8.1.3
Combining Intervals
8.2
Domain from a Graph
8.3
Range from a Graph
8.4
Domain from a Formula
8.4.1
Square Roots of Variables
8.4.2
Variables in the Denominator
8.4.3
Both or Neither
8.4.4
8.5
Practice Problems
9
Transformations
9.1
Identifying Transformations
9.2
Applying Transformations
9.3
Domain and Range of Transformations
9.4
Practice Problems
IV
Polynomial and Rational Functions
10
Polynomial Functions
10.1
Roots of Polynomials
10.1.1
Multiplicity
10.2
Equation of Polynomials
10.3
End Behavior of Polynomials
11
Rational Functions
11.1
Domain of Rational Functions
11.2
End Behavior of Rational Functions
V
Exponential and Logarithmic Functions
12
Exponential Functions
12.1
Equations of Exponential Functions
12.2
Graphs and End Behavior of Exponential Functions
12.3
The Number
e
13
Logarithmic Functions
13.1
Evaluating Logarithmic Functions
13.2
Graphs of Logarithmic Functions
13.3
The Natural Log
VI
Exponential and Logarithmic Equations
14
Logarithm Properties
14.1
Combining Logarithms
14.2
Expanding Logarithms
15
Exponential and Logarithmic Equations
15.1
Solving Log and Exponential Equations
15.2
Inverses of Logs and Exponentials
Part
I
Functions and Function Notation
2
Function Notation
3
Composition
4
Inverse Functions
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