Precalculus11th EditionMichael Sullivan Publisher: PEARSONISBN: 9780135189405
Precalculus
Solutions for Precalculus
Problem 1AYU:
Graph.
Problem 3AYU:
Find the average rate of change of from to
Problem 4AYU:
Solve: 6x900=15x+2850 . (pp. A44-A46)Problem 5AYU:
If f( x )= x 2 4 , find f( 2 ) . (pp. 60-62)Problem 8AYU:
If the slope m of the graph of a linear function is _____, the function is increasing over its...Problem 9AYU:
True or False The slope of a nonvertical line is the average rate of change of the linear function.Problem 11AYU:
What is the only type of function that has a constant average rate of change? a. linear function b....Problem 12AYU:
A car has 12,500 miles on its odometer. Say the car is driven an average of 40 miles per day. Choose...Problem 13AYU:
In Problems 13-20, a linear function is given. a. Determine the slope and y-intercept of each...Problem 14AYU:
In Problems 13-20, a linear function is given. a. Determine the slope and y-intercept of each...Problem 15AYU:
In Problems 13-20, a linear function is given. a. Determine the slope and y-intercept of each...Problem 16AYU:
In Problems 13-20, a linear function is given. a. Determine the slope and y-intercept of each...Problem 17AYU:
In Problems 13-20, a linear function is given. a. Determine the slope and y-intercept of each...Problem 18AYU:
In Problems 13-20, a linear function is given. a. Determine the slope and y-intercept of each...Problem 19AYU:
In Problems 13-20, a linear function is given. a. Determine the slope and y-intercept of each...Problem 20AYU:
In Problems 13-20, a linear function is given. a. Determine the slope and y-intercept of each...Problem 21AYU:
In Problems 21-28, determine whether the given function is linear or nonlinear. If it is linear,...Problem 22AYU:
In Problems 21-28, determine whether the given function is linear or nonlinear. If it is linear,...Problem 23AYU:
In Problems 21-28, determine whether the given function is linear or nonlinear. If it is linear,...Problem 24AYU:
In Problems 21-28, determine whether the given function is linear or nonlinear. If it is linear,...Problem 25AYU:
In Problems 21-28, determine whether the given function is linear or nonlinear. If it is linear,...Problem 26AYU:
In Problems 21-28, determine whether the given function is linear or nonlinear. If it is linear,...Problem 27AYU:
In Problems 21-28, determine whether the given function is linear or nonlinear. If it is linear,...Problem 28AYU:
In Problems 21-28, determine whether the given function is linear or nonlinear. If it is linear,...Problem 29AYU:
Suppose that f( x )=4x1 and g(x)=2x+5 . a. Solve f( x )=0 . b. Solve f( x )0 . c. Solve f(x)=g( x )...Problem 30AYU:
Suppose that f( x )=3x+5 and g(x)=2x+15 . a. Solve f( x )=0 . b. Solve f( x )0 . c. Solve f(x)=g( x...Problem 31AYU:
In parts (a) - (f), use the following figure. a. Solve f( x )=50 . b Solve f( x )=80 . c. Solve f( x...Problem 32AYU:
In parts (a) - (f), use the following figure. a. Solve g( x )=20 . b Solve g( x )=60 . c. Solve g( x...Problem 33AYU:
In parts (a) and (b), use the following figure. a. Solve the equation: f( x )=g( x ) . b. Solve the...Problem 34AYU:
In parts (a) and (b), use the following figure. a. Solve the equation: f( x )=g( x ) . b. Solve the...Problem 35AYU:
In parts (a) and (b), use the following figure. a. Solve the equation: f( x )=g( x ) . b. Solve the...Problem 36AYU:
In parts (a) and (b), use the following figure. a. Solve the equation: f( x )=g( x ) . b. Solve the...Problem 37AYU:
Getting Towed The cost in dollars; to tow a car is modelled by the function where is the number of...Problem 38AYU:
Phone Charges The monthly cost in dollars, for calls from the United States to Germany on a certain...Problem 39AYU:
Forensic Science The relationship between the height of an adult male and the length of his...Problem 40AYU:
Forensic Science The relationship between the height of an adult female and the length of her...Problem 41AYU:
Supply and Demand Suppose that the quantity supplied S and the quantity demanded D of T-shirts at a...Problem 42AYU:
Supply and Demand Suppose that the quantity supplied S and the quantity demanded D of hot dogs at a...Problem 43AYU:
Taxes The function T(x)=0.12(x9525)+952.50 represents the tax bill T of a single person whose...Problem 44AYU:
Competitive balance Tax Under the 20172021 labour agreement between Major League Baseball and the...Problem 45AYU:
The point at which a company’s profits equal zero is called the company’s break-even point. For...Problem 46AYU:
The point at which a company’s profits equal zero is called the company’s break-even point. For...Problem 47AYU:
Straight-line Depreciation Suppose that a company has just purchased a new computer for 3000 . The...Problem 48AYU:
Straight-line Depreciation Suppose that a company has just purchased a new machine for its...Problem 49AYU:
Cost Function The simplest cost function is the linear cost function, C(x)=mx+b , where the...Problem 50AYU:
Cost function Refer to problem 49. Suppose that the landlord of the building increases the bicycle...Problem 51AYU:
Hooke’s law According to Hooke’s law, a linear relationship exists between the distance that a...Problem 52AYU:
Hooke’s law The distancebetween the bottom of a suspended spring and a countertop is a linear...Problem 53AYU:
Challenge Problem Temperature Conversion The linear function F(C)=95C+32 converts degrees Celsius to...Problem 54AYU:
Developing a Linear Model from Data The following data represent the various combinations of soda...Problem 55AYU:
Which of the following functions might have the graph shown? (More than one answer is possible). a....Problem 56AYU:
Which of the following functions might have the graph shown? More than one answer is possible). a....Problem 57AYU:
Under what circumstances is a linear function f( x )=mx+b odd? Can a linear function ever be even?Problem 59AYU:
Problems 57-60 are based on material teamed earlier in the course. The purpose of these problems is...Problem 60AYU:
Problems 57-60 are based on material teamed earlier in the course. The purpose of these problems is...Problem 61AYU:
Problems 57-60 are based on material teamed earlier in the course. The purpose of these problems is...Problem 62AYU:
Problems 57-60 are based on material teamed earlier in the course. The purpose of these problems is...Problem 66AYU:
Find the domain of f(x)=x+2x4.Browse All Chapters of This Textbook
Chapter 1 - GraphsChapter 1.1 - The Distance And Midpoint FormulasChapter 1.2 - Graphs Of Equations In Two Variables; Intercepts; SymmetryChapter 1.3 - LinesChapter 1.4 - CirclesChapter 2 - Functions And Their GraphsChapter 2.1 - FunctionsChapter 2.2 - The Graph Of A FunctionChapter 2.3 - Properties Of FunctionsChapter 2.4 - Library Of Functions; Piecewise-defined Functions
Chapter 2.5 - Graphing Techniques: TransformationsChapter 2.6 - Mathematical Models: Building FunctionsChapter 3 - Linear And Quadratic FunctionsChapter 3.1 - Properties Of Linear Functions And Linear ModelsChapter 3.2 - Building Linear Models From DataChapter 3.3 - Quadratic Functions And Their PropertiesChapter 3.4 - Build Quadratic Models From Verbal Descriptions And From DataChapter 3.5 - Inequalities Involving Quadratic FunctionsChapter 4 - Polynomial And Rational FunctionsChapter 4.1 - Polynomial FunctionsChapter 4.2 - Graphing Polynomial Functions; ModelsChapter 4.3 - Properties Of Rational FunctionsChapter 4.4 - The Graph Of A Rational FunctionChapter 4.5 - Polynomial And Rational InequalitiesChapter 4.6 - The Real Zeros Of A Polynomial FunctionChapter 4.7 - Complex Zeros: Fundamental Theorem Of AlgebraChapter 5 - Exponential And Logarithmic FunctionsChapter 5.1 - Composite FunctionsChapter 5.2 - One-to-one Functions; Inverse FunctionsChapter 5.3 - Exponential FunctionsChapter 5.4 - Logarithmic FunctionsChapter 5.5 - Properties Of LogarithmsChapter 5.6 - Logarithmic And Exponential EquationsChapter 5.7 - Financial ModelsChapter 5.8 - Exponential Growth And Decay Models; Newton’s Law; Logistic Growth And Decay ModelsChapter 5.9 - Building Exponential, Logarithmic, And Logistic Models From DataChapter 6 - Trigonometric FunctionsChapter 6.1 - Angles, Arc Length, And Circular MotionChapter 6.2 - Trigonometric Functions: Unit Circle ApproachChapter 6.3 - Properties Of The Trigonometric FunctionsChapter 6.4 - Graphs Of The Sine And Cosine FunctionsChapter 6.5 - Graphs Of The Tangent, Cotangent, Cosecant, And Secant FunctionsChapter 6.6 - Phase Shift; Sinusoidal Curve FittingChapter 7 - Analytic TrigonometryChapter 7.1 - The Inverse Sine, Cosine, And Tangent FunctionsChapter 7.2 - The Inverse Trigonometric Functions (continued)Chapter 7.3 - Trigonometric EquationsChapter 7.4 - Trigonometric IdentitiesChapter 7.5 - Sum And Difference FormulasChapter 7.6 - Double-angle And Half-angle FormulasChapter 7.7 - Product-to-sum And Sum-to-product FormulasChapter 8 - Applications Of Trigonometric FunctionsChapter 8.1 - Right Triangle Trigonometry; ApplicationsChapter 8.2 - The Law Of SinesChapter 8.3 - The Law Of CosinesChapter 8.4 - Area Of A TriangleChapter 8.5 - Simple Harmonic Motion; Damped Motion; Combining WavesChapter 9 - Polar Coordinates; VectorsChapter 9.1 - Polar CoordinatesChapter 9.2 - Polar Equations And GraphsChapter 9.3 - The Complex Plane; De Moivre’s TheoremChapter 9.4 - VectorsChapter 9.5 - The Dot ProductChapter 9.6 - Vectors In SpaceChapter 9.7 - The Cross ProductChapter 10 - Analytic GeometryChapter 10.2 - The ParabolaChapter 10.3 - The EllipseChapter 10.4 - The HyperbolaChapter 10.5 - Rotation Of Axes; General Form Of A ConicChapter 10.6 - Polar Equations Of ConicsChapter 10.7 - Plane Curves And Parametric EquationsChapter 11 - Systems Of Equations And InequalitiesChapter 11.1 - Systems Of Linear Equations: Substitution And EliminationChapter 11.2 - Systems Of Linear Equations: MatricesChapter 11.3 - Systems Of Linear Equations: DeterminantsChapter 11.4 - Matrix AlgebraChapter 11.5 - Partial Fraction DecompositionChapter 11.6 - Systems Of Nonlinear EquationsChapter 11.7 - Systems Of InequalitiesChapter 11.8 - Linear ProgrammingChapter 12 - Sequences; Induction; The Binomial TheoremChapter 12.1 - SequencesChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric Sequences; Geometric SeriesChapter 12.4 - Mathematical InductionChapter 12.5 - The Binomial TheoremChapter 13 - Counting And ProbabilityChapter 13.1 - CountingChapter 13.2 - Permutations And CombinationsChapter 13.3 - ProbabilityChapter 14 - A Preview Of Calculus: The Limit, Derivative, And Integral Of A FunctionChapter 14.1 - Investigating Limits Using Tables And GraphsChapter 14.2 - Algebra Techniques For Finding LimitsChapter 14.3 - One-sided Limits; ContinuityChapter 14.4 - The Tangent Problem; The DerivativeChapter 14.5 - The Area Problem; The IntegralChapter A.1 - Algebra EssentialsChapter A.2 - Geometry EssentialsChapter A.3 - PolynomialsChapter A.4 - Synthetic DivisionChapter A.5 - Rational ExpressionsChapter A.6 - Solving EquationsChapter A.7 - Complex Numbers; Quadratic Equations In The Complex Number SystemChapter A.8 - Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsChapter A.9 - Interval Notation; Solving InequalitiesChapter A.10 - Nth Roots; Rational ExponentsChapter B.1 - The Viewing RectangleChapter B.2 - Using A Graphing Utility To Graph EquationsChapter B.3 - Using A Graphing Utility To Locate Intercepts And Check For SymmetryChapter B.5 - Square Screens
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