Precalculus11th EditionMichael Sullivan Publisher: PEARSONISBN: 9780135189405
Precalculus
Solutions for Precalculus
Problem 1AYU:
Sketch the graph of y= x . (p. 22)Problem 2AYU:
Sketch the graph of y= 1 x . (pp. 22-23)Problem 5AYU:
When functions are defined by more than one equation, they are called ______ functions.Problem 8AYU:
True or False The domain and the range of the reciprocal function are the set of all real numbers.Problem 9AYU:
Which of the following functions has a graph that is symmetric about the y-axis ? (a) y= x (b) y=| x...Problem 10AYU:
Consider the following function. f( x )= 3x2ifx2 x 2 +5if2x10 3ifx10 Which “piece(s)� should be...Problem 11AYU:
In Problems 11-18, match each graph to its function. A. Constant function B. Identity function C....Problem 12AYU:
In Problems 11-18, match each graph to its function. A. Constant function B. Identity function C....Problem 13AYU:
In Problems 11-18, match each graph to its function. A. Constant function B. Identity function C....Problem 14AYU:
In Problems 11-18, match each graph to its function. A. Constant function B. Identity function C....Problem 15AYU:
In Problems 11-18, match each graph to its function. A. Constant function B. Identity function C....Problem 16AYU:
In Problems 11-18, match each graph to its function. A. Constant function B. Identity function C....Problem 17AYU:
In Problems 11-18, match each graph to its function. A. Constant function B. Identity function C....Problem 18AYU:
In Problems 11-18, match each graph to its function. A. Constant function B. Identity function C....Problem 19AYU:
In Problems 19-26, sketch the graph of each function. Be sure to label three points on the graph. f(...Problem 20AYU:
In Problems 19-26, sketch the graph of each function. Be sure to label three points on the graph. f(...Problem 21AYU:
In Problems 19-26, sketch the graph of each function. Be sure to label three points on the graph. f(...Problem 22AYU:
In Problems 19-26, sketch the graph of each function. Be sure to label three points on the graph. f(...Problem 23AYU:
In Problems 19-26, sketch the graph of each function. Be sure to label three points on the graph. f(...Problem 24AYU:
In Problems 19-26, sketch the graph of each function. Be sure to label three points on the graph. f(...Problem 25AYU:
In Problems 19-26, sketch the graph of each function. Be sure to label three points on the graph. f(...Problem 26AYU:
In Problems 19-26, sketch the graph of each function. Be sure to label three points on the graph. f(...Problem 27AYU:
If f(x)={x2ifx04ifx=03x2ifx0 find : f(3) (b) f(0) (c) f(3)Problem 31AYU:
In Problems 31-42: (a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each...Problem 32AYU:
In Problems 31-42: (a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each...Problem 33AYU:
In Problems 31-42: (a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each...Problem 34AYU:
In Problems 31-42: (a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each...Problem 35AYU:
In Problems 31-42: (a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each...Problem 36AYU:
In Problems 31-42: (a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each...Problem 37AYU:
In Problems 31-42: (a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each...Problem 38AYU:
In Problems 31-42: (a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each...Problem 39AYU:
In Problems 31-42: (a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each...Problem 40AYU:
In Problems 31-42: (a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each...Problem 41AYU:
In Problems:
Find the domain of each function. (b) Locate any intercepts.
(c) Graph each...Problem 42AYU:
In Problems:
Find the domain of each function. (b) Locate any intercepts.
(c) Graph each...Problem 43AYU:
In Problems 43-46, the graph of a piecewise-defined function is given. Write a definition for each...Problem 44AYU:
In Problems 43-46, the graph of a piecewise-defined function is given. Write a definition for each...Problem 45AYU:
In Problems 43-46, the graph of a piecewise-defined function is given. Write a definition for each...Problem 46AYU:
In Problems 43-46, the graph of a piecewise-defined function is given. Write a definition for each...Problem 49AYU:
(a) Graph f( x )={ ( x1 ) 2 if0x2 2x+10if2x6 (b) Find the domain of f . (c) Find the absolute...Problem 50AYU:
(a) Graph f( x )={ x+1if2x0 2ifx=0 x+1if0x2 (b) Find the domain of f . (c) Find the absolute maximum...Problem 51AYU:
Tablet Service A monthly tablet plan costs 34.99 . It includes 3 gigabytes of data and charges 15...Problem 52AYU:
Parking at O’Hare International Airport The short-term (no more than 24 hours) parking fee F (in...Problem 53AYU:
Cost of Natural Gas In March, Spire, Inc. had the following rate schedule for natural gas usage in...Problem 54AYU:
Cost of Natural Gas In April 2018, Nicor Gas had the following rate schedule for natural gas usage...Problem 55AYU:
Federal Income Tax Two 2018 Tax Rate Schedules are given in the accompanying table. If x equals...Problem 56AYU:
Federal Income Tax Refer to the 2018 tax rate schedules. If x equals taxable income and y equals the...Problem 57AYU:
Cost of Transporting Goods A trucking company transports goods between Chicago and New York, a...Problem 58AYU:
Car Rental Costs An economy car rented in Florida from Enterprise® on a weekly basis costs 185 per...Problem 59AYU:
Mortgage Fees Fannie Mae charges a loan-level price adjustment (LLPA) on all mortgages, which...Problem 60AYU:
Minimum Payments for Credit Cards Holders of a credit cards issued by banks, department stores, oil...Problem 61AYU:
Wind Chill The wind chill factor represents the air temperature at a standard wind speed that would...Problem 63AYU:
Wind Chill First-class Mail In 2015 the U.S. Postal Service charged 0.98 postage for first-class...Problem 64AYU:
Challenge Problem Pool Depth Develop a model for the depth of the swimming pool shown below as a...Problem 65AYU:
Challenge Problem Find the sum function (f+g)(x) if f(x)={2x+3ifx2x2+5xifx0 and g(x)={4x+1ifx0x7ifx0Problem 66AYU:
In Problems 64-71, use a graphing utility. Exploration Graph y= x 2 . Then on the same screen graph...Problem 67AYU:
In Problems 64-71, use a graphing utility. Exploration Graph y= x 2 . Then on the same screen graph...Problem 68AYU:
In Problems 64-71, use a graphing utility. Exploration Graph y=| x | . Then on the same screen graph...Problem 69AYU:
In Problems 64-71, use a graphing utility. Exploration Graph y= x 2 . Then on the same screen graph...Problem 70AYU:
In Problems 64-71, use a graphing utility. Exploration Graph y= x . Then on the same screen graph y=...Problem 71AYU:
In Problems 64-71, use a graphing utility. Exploration Graph y= x 3 . Then on the same screen graph...Problem 72AYU:
In Problems 64-71, use a graphing utility. Exploration Graph y= x 2 ,y= x 4 ,andy= x 6 on the same...Problem 73AYU:
In Problems 64-71, use a graphing utility. Exploration Graph y= x 3 ,y= x 5 ,andy= x 7 on the same...Problem 74AYU:
Consider the equation y={ 1ifxisrational 0ifxisrational Is this a function? What is its domain? What...Problem 75AYU:
Define some functions that pass through ( 0,0 )and( 1,1 ) and are increasing for x0 . Begin your...Problem 76AYU:
Problems 7685 are based on material learned earlier in the course. The purpose of these problems is...Problem 77AYU:
Problems are based on material learned earlier in the course. The purpose of these problems is to...Problem 78AYU:
Problems are based on material learned earlier in the course. The purpose of these problems is to...Problem 79AYU:
Problems are based on material learned earlier in the course. The purpose of these problems is to...Problem 80AYU:
Problems 7685 are based on material learned earlier in the course. The purpose of these problems is...Problem 81AYU:
Problems 7685 are based on material learned earlier in the course. The purpose of these problems is...Problem 82AYU:
Problems 7685 are based on material learned earlier in the course. The purpose of these problems is...Problem 83AYU:
Problems 7685 are based on material learned earlier in the course. The purpose of these problems is...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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