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Index
Contents
Before You Begin
How This Book Is Organized
Introduction
Chapter 1: Algebra Review
Multiplying and dividing polynomials
Practice Questions—Multiplying and dividing polynomials
Factoring polynomials
Practice Questions—Factoring polynomials
Absolute value
Practice Questions—Absolute value
Interval notation
Practice Questions—Interval notation
Chapter Review
Practice Question Solutions
Chapter Review Solutions
Chapter 2: Graphing
The coordinate plane
Practice Questions—The coordinate plane
Graphing linear equations
Practice Questions—Graphing linear equations
Finding the slope of a line
Practice Questions—Finding the slope of the line
The slope-intercept formula
Practice Questions—The slope-intercept formula
Graphing quadratic equations
Practice Questions—Graphing quadratic equations
Chapter Review
Practice Question Solutions
Chapter Review Solutions
Chapter 3: Functions
What is a function?
Domain and range
Practice Questions—Domain and range
Functional notation
Practice Questions—Functional notation
Composite functions
Practice Questions—Composite functions
Piecewise functions
Practice Questions—Piecewise functions
Chapter Review
Practice Question Solutions
Chapter Review Solutions
Chapter 4: Trigonometry
The Pythagorean Theorem
Practice Questions—The Pythagorean Theorem
SOHCAHTOA—sine, cosine, and tangent
Practice Questions—SOHCAHTOA
The unit circle
Practice Questions—The unit circle
Inverse trig functions
Practice Questions—Inverse trig functions
Chapter Review
Practice Question Solutions
Chapter Review Solutions
Chapter 5: Limits
What is a limit?
Properties of limits
Taking limits
Practice Questions—Taking limits
Infinite limits
Practice Questions—Infinite limits
Chapter Review
Practice Question Solutions
Chapter Review Solutions
Chapter 6: Differentiation
What is a derivative?
Differentiability and continuity
Basic differentiation rules
Practice Questions—Basic differentiation rules
The chain rule
Practice Questions—The chain rule
Derivatives of trig functions
Practice Questions—Derivatives of trig functions
Implicit differentiation
Practice Questions—Implicit differentiation
Chapter Review
Practice Question Solutions
Chapter Review Solutions
Chapter 7: Applying Differentiation
Rates of change
Practice Questions—Rates of change
Extrema on an interval
Practice Questions—Extrema on an interval
Increasing and decreasing functions
Practice Questions—Increasing and decreasing functions
Chapter Review
Practice Question Solutions
Chapter Review Solutions
Chapter 8: Integration
What is an antiderivative?
Basic integration rules
Practice Questions—Basic integration rules
Particular solutions
Practice Questions—Particular solutions
Integration by substitution
Practice Questions—Integration by substitution
Chapter Review
Practice Question Solutions
Chapter Review Solutions
Chapter 9: Definite Integrals
What is a definite integral?
Finding area
Practice Questions—Finding area
The Fundamental Theorem of Calculus
Finding definite integrals
Practice Questions—Finding definite integrals
Chapter Review
Practice Question Solutions
Chapter Review Solutions
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