Applications of Trigonometric Functions 8.1 Applications Involving Right Triangles 8.2 Law of Sines 8.3 Law of Cosines 8.4 Area of a Triangle 8.5 Simple Harmonic Motion Damped Motion Combining Waves Chapter Review Chapter Test Cumulative Review Chapter Projects 9. Analytic Trigonometry 7.1 The Inverse Sine, Cosine, and Tangent Functions 7.2 The Inverse Trigonometric Functions (continued) 7.3 Trigonometric Equations 7.4 Trigonometric Identities 7.5 Sum and Difference Formulas 7.6 Double-angle and Half-angle Formulas 7.7 Product-to-Sum and Sum-to-Product Formulas Chapter Review Chapter Test Cumulative Review Chapter Projects 8. Trigonometric Functions 6.1 Angles and Their Measure 6.2 Trigonometric Functions: Unit Circle Approach 6.3 Properties of the Trigonometric Functions 6.4 Graphs of the Sine and Cosine Functions 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 6.6 Phase Shift Sinusoidal Curve Fitting Chapter Review Chapter Test Cumulative Review Chapter Projects 7. Exponential and Logarithmic Functions 5.1 Composite Functions 5.2 One-to-One Functions Inverse Functions 5.3 Exponential Functions 5.4 Logarithmic Functions 5.5 Properties of Logarithms 5.6 Logarithmic and Exponential Equations 5.7 Financial Models 5.8 Exponential Growth and Decay Models Newton's Law Logistic Growth and Decay Models 5.9 Building Exponential, Logarithmic, and Logistic Functions from Data Chapter Review Chapter Test Cumulative Review Chapter Projects 6. Polynomial and Rational Functions 4.1 Polynomial Functions and Models 4.2 Properties of Rational Functions 4.3 The Graph of a Rational Function 4.4 Polynomial and Rational Inequalities 4.5 The Real Zeros of a Polynomial Function 4.6 Complex Zeros: Fundamental Theorem of Algebra Chapter Review Chapter Test Cumulative Review Chapter Projects 5. Linear and Quadratic Functions 3.1 Linear Functions and Their Properties 3.2 Linear Models: Building Linear Functions from Data 3.3 Quadratic Functions and Their Properties 3.4 Build Quadratic models from Verbal Descriptions and from Data 3.5 Inequalities Involving Quadratic Functions Chapter Review Chapter Test Cumulative Review Chapter Projects 4. Functions and Their Graphs 2.1 Functions 2.2 The Graph of a Function 2.3 Properties of Functions 2.4 Library of Functions Piecewise-defined Functions 2.5 Graphing Techniques: Transformations 2.6 Mathematical Models: Building Functions Chapter Review Chapter Test Cumulative Review Chapter Projects 3. Graphs 1.1 The Distance and Midpoint Formulas 1.2 Graphs of Equations in Two Variables: Intercepts Symmetry 1.3 Lines 1.4 Circles Chapter Review Chapter Test Chapter Projects 2. Likewise, the zeros are the x-coordinates of the points where the graph crosses the x-axis.Table of Contents 1. Then confirm the estimate The graph is not bounded on the left or right, so the domain is the set of all real numbers. Then find its y-intercept and zeros algebraically.

What value does the average rate of change appear to be approaching as the value of b gets closer and closer to 1? The average rate of change of a function f x over an interval is the amount the function changes per unit change in x.

Instantaneous rate of change has enormous importance in calculus. State the relation of the data as a set of ordered pairs. State the domain and range of the relation. Determine whether the relation is a function. Estimate f 3 and f 5, the populations in the third and fifth years. Write a piecewise function to describe the total amount t the patron will pay in terms of the meal cost c. Write a piecewise function describing the shipping cost c in terms of the total purchase amount t.

Precalculus chapter 1 test answers