- Chapter 1: Functions and Their Graphs
- Chapter 1-3: Cumulative Test for Chapters 13
- Chapter 1.1: Rectangular Coordinates
- Chapter 1.10: Mathematical Modeling and Variation
- Chapter 1.2: Graphs of Equations
- Chapter 1.3: Linear Equations in Two Variables
- Chapter 1.4: Functions
- Chapter 1.5: Analyzing Graphs of Functions
- Chapter 1.6: A Library of Parent Functions
- Chapter 1.7: Transformations of Functions
- Chapter 1.8: Combinations of Functions: Composite Functions
- Chapter 1.9: Inverse Functions
- Chapter 10: Topics in Analytic Geometry
- Chapter 10.1: Lines
- Chapter 10.2: Introduction to Conics: Parabolas
- Chapter 10.3: Ellipses
- Chapter 10.4: Hyperbolas
- Chapter 10.5: Rotation of Conics
- Chapter 10.6: Parametric Equations
- Chapter 10.7: Polar Coordinates
- Chapter 10.8: Graphs of Polar Equations
- Chapter 10.9: Polar Equations of Conics
- Chapter 2: Polynomial and Rational Functions
- Chapter 2.1: Quadratic Functions and Models
- Chapter 2.2: Polynomial Functions of Higher Degree
- Chapter 2.3: Polynomial and Synthetic Division
- Chapter 2.4: Complex Numbers
- Chapter 2.5: Zeros of Polynomial Functions
- Chapter 2.6: Rational Functions
- Chapter 2.7: Nonlinear Inequalities
- Chapter 3: Exponential and Logarithmic Functions
- Chapter 3.1: Exponential Functions and Their Graphs
- Chapter 3.2: Logarithmic Functions and Their Graphs
- Chapter 3.3: Properties of Logarithms
- Chapter 3.4: Exponential and Logarithmic Equations
- Chapter 3.5: Exponential and Logarithmic Models
- Chapter 4: Trigonometry
- Chapter 4.1: Radian and Degree Measure
- Chapter 4.2: Trigonometric Functions: The Unit Circle
- Chapter 4.3: Right Triangle Trigonometry
- Chapter 4.4: Trigonometric Functions of Any Angle
- Chapter 4.5: Graphs of Sine and Cosine Functions
- Chapter 4.6: Graphs of Other Trigonometric Functions
- Chapter 4.7: Inverse Trigonometric Functions
- Chapter 4.8: Applications and Models
- Chapter 5: Analytic Trigonometry
- Chapter 5.1: Using Fundamental Identities
- Chapter 5.2: Verifying Trigonometric Identities
- Chapter 5.3: Solving Trigonometric Equations
- Chapter 5.4: Sum and Difference Formulas
- Chapter 5.5: Multiple Angle and Product-to-Sum Formulas
- Chapter 6: Additional Topics in Trigonometry
- Chapter 6.1: Law of Sines
- Chapter 6.2: Law of Cosines
- Chapter 6.3: Vectors in the Plane
- Chapter 6.4: Vectors and Dot Products
- Chapter 6.5: Trigonometric Form of a Complex Number
- Chapter 7: Systems of Equations and Inequalities
- Chapter 7.1: Linear and Nonlinear Systems of Equations
- Chapter 7.2: Two-Variable Linear Systems
- Chapter 7.3: Multivariable Linear Systems
- Chapter 7.4: Partial Fractions
- Chapter 7.5: Systems of Inequalities
- Chapter 7.6: Linear Programming
- Chapter 8: Matrices and Determinants
- Chapter 8.1: Matrices and Systems of Equations
- Chapter 8.2: Operations with Matrices
- Chapter 8.3: The Inverse of a Square Matrix
- Chapter 8.4: The Determinant of a Square Matrix
- Chapter 8.5: Applications of Matrices and Determinants
- Chapter 9: Sequences, Series, and Probability
- Chapter 9.1: Sequences and Series
- Chapter 9.2: Arithmetic Sequences and Partial Sums
- Chapter 9.3: Geometric Sequences and Series
- Chapter 9.4: Mathematical Induction
- Chapter 9.5: The Binomial Theorem
- Chapter 9.6: Counting Principles
- Chapter 9.7: Probability
- Chapter A.1: Real Numbers and Their Properties
- Chapter A.2: Exponents and Radicals
- Chapter A.3: Polynomials and Factoring
- Chapter A.4: Rational Expressions
- Chapter A.5: Solving Equations
- Chapter A.6: Linear Inequalities in One Variable
- Chapter A.7: Errors and the Algebra of Calculus
Precalculus 7th Edition - Solutions by Chapter
Full solutions for Precalculus | 7th Edition
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.
A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots
An observational study that gathers data from an entire population
De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)
Any solution of the resulting equation that is not a solution of the original equation.
Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.
See Mathematical induction.
Zeros of a function that are irrational numbers.
Linear equation in x
An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0
The line segment through the foci of an ellipse with endpoints on the ellipse
Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.
A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.
In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.
The collection of probabilities of outcomes in a sample space assigned by a probability function.
A function that assigns real-number values to the outcomes in a sample space.
Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.
Simple harmonic motion
Motion described by d = a sin wt or d = a cos wt
Solve by elimination or substitution
Methods for solving systems of linear equations.
A number that measures a quantitative variable for a sample from a population.
A set of equations or inequalities.