Solutions for Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Problem 1AYP:
Is the set of ordered pairs { ( 1,3 ),( 2,3 ),( 1,2 ) } a function? Why or why not? (pp. 57-60)Problem 3AYP:
What is the domain of f(x)= x+5 x 2 +3x18 ? (pp. 64-66)Problem 4AYP:
Simplify: 1 x +1 1 x 2 1 (pp. A39-A41)Problem 5CV:
If x 1 and x 2 are two different inputs of a function f , then f is one-to-one if _____.Problem 6CV:
If every horizontal line intersects the graph of a function f at no more than one point, then f is...Problem 8CV:
If f 1 denotes the inverse of a function f , then the graphs of f and f 1 are symmetric with respect...Problem 9CV:
If the domain of a one-to-one function f is [ 4, ) , then the range of its inverse function f 1 is...Problem 10CV:
True or False If f and g are inverse functions, then the domain of f is the same as the range of g .Problem 11CV:
If (2,3) is a point on the graph of a one-to-one function f , which of the following points is on...Problem 12CV:
Suppose f is a one-to-one function with a domain of { xx3 } and a range of yy 2 3 . Which of the...Problem 17SB:
In Problems 13-20, determine whether the function is one-to-one. (2,6),(3,6),(4,9),(1,10)Problem 18SB:
In Problems 13-20, determine whether the function is one-to-one. ( 2,5 ),( 1,3 ),( 3,7 ),( 4,12 )Problem 19SB:
In Problems 13-20, determine whether the function is one-to-one. { ( 0,0 ),( 1,1 ),( 2,16 ),( 3,81 )...Problem 20SB:
In Problems 13-20, determine whether the function is one-to-one. { ( 1,2 ),( 2,8 ),( 3,18 ),( 4,32 )...Problem 21SB:
In Problems 21-26, the graph of a function f is given. Use the horizontal-line test to determine...Problem 22SB:
In Problems 21-26, the graph of a function f is given. Use the horizontal-line test to determine...Problem 23SB:
In Problems 21-26, the graph of a function f is given. Use the horizontal-line test to determine...Problem 24SB:
In Problems 21-26, the graph of a function f is given. Use the horizontal-line test to determine...Problem 25SB:
In Problems 21-26, the graph of a function f is given. Use the horizontal-line test to determine...Problem 26SB:
In Problems 21-26, the graph of a function f is given. Use the horizontal-line test to determine...Problem 27SB:
In Problems 27-34, find the inverse of each one-to-one function. State the domain and the range of...Problem 28SB:
In Problems 27-34, find the inverse of each one-to-one function. State the domain and the range of...Problem 29SB:
In Problems 27-34, find the inverse of each one-to-one function. State the domain and the range of...Problem 30SB:
In Problems 27-34, find the inverse of each one-to-one function. State the domain and the range of...Problem 31SB:
In Problems 27-34, find the inverse of each one-to-one function. State the domain and the range of...Problem 32SB:
In Problems 27-34, find the inverse of each one-to-one function. State the domain and the range of...Problem 33SB:
In Problems 27-34, find the inverse of each one-to-one function. State the domain and the range of...Problem 34SB:
In Problems 27-34, find the inverse of each one-to-one function. State the domain and the range of...Problem 35SB:
In Problems 35-44, verify that the functions f and g are inverses of each other by showing that...Problem 36SB:
In Problems 35-44, verify that the functions f and g are inverses of each other by showing that...Problem 37SB:
In Problems 35-44, verify that the functions f and g are inverses of each other by showing that...Problem 38SB:
In Problems 35-44, verify that the functions f and g are inverses of each other by showing that...Problem 39SB:
In Problems 35-44, verify that the functions f and g are inverses of each other by showing that...Problem 40SB:
In Problems 35-44, verify that the functions f and g are inverses of each other by showing that...Problem 41SB:
In Problems 35-44, verify that the functions f and g are inverses of each other by showing that...Problem 42SB:
In Problems 35-44, verify that the functions f and g are inverses of each other by showing that...Problem 43SB:
In Problems 35-44, verify that the functions f and g are inverses of each other by showing that...Problem 44SB:
In Problems 35-44, verify that the functions f and g are inverses of each other by showing that...Problem 45SB:
In Problems 45-50, the graph of a one-to-one function f is given. Draw the graph of the inverse...Problem 46SB:
In Problems 45-50, the graph of a one-to-one function f is given. Draw the graph of the inverse...Problem 47SB:
In Problems 45-50, the graph of a one-to-one function f is given. Draw the graph of the inverse...Problem 48SB:
In Problems 45-50, the graph of a one-to-one function f is given. Draw the graph of the inverse...Problem 49SB:
In Problems 45-50, the graph of a one-to-one function f is given. Draw the graph of the inverse...Problem 50SB:
In Problems 45-50, the graph of a one-to-one function f is given. Draw the graph of the inverse...Problem 51SB:
In Problems 51-62, the function f is one-to-one (a) Find its inverse function f 1 and check your...Problem 52SB:
In Problems 51-62, the function f is one-to-one (a) Find its inverse function f 1 and check your...Problem 53SB:
In Problems 51-62, the function f is one-to-one (a) Find its inverse function f 1 and check your...Problem 54SB:
In Problems 51-62, the function f is one-to-one (a) Find its inverse function f 1 and check your...Problem 55SB:
In Problems 51-62, the function f is one-to-one (a) Find its inverse function f 1 and check your...Problem 56SB:
In Problems 51-62, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 57SB:
In Problems 51-62, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 58SB:
In Problems 51-62, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 59SB:
In Problems 51-62, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 60SB:
In Problems 51-62, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 61SB:
In Problems 51-62, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 62SB:
In Problems 51-62, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 63SB:
In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 64SB:
In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 65SB:
In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 66SB:
In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 67SB:
In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 68SB:
In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 69SB:
In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 70SB:
In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 71SB:
In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 72SB:
In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 73SB:
In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 74SB:
In Problems 63-74, the function f is one-to-one. (a) Find its inverse function f 1 and check your...Problem 75AE:
Use the graph of y=f( x ) given in Problem 45 to evaluate the following: (a) f( 1 ) (b) f( 1 ) (c) f...Problem 76AE:
Use the graph of y=f( x ) given in Problem 46 to evaluate the following: (a) f( 2 ) (b) f( 1 ) (c) f...Problem 77AE:
If f( 7 )=13 and f is one-to-one, what is f 1 ( 13 ) ?Problem 78AE:
If g( 5 )=3 and g is one-to-one, what is g 1 ( 3 ) ?Problem 79AE:
The domain of a one-to-one function f is [ 5, ) , and its range is [ 2, ) . State the domain and the...Problem 80AE:
The domain of a one-to-one function f is [0,) , and its range is [5,) . State the domain and the...Problem 81AE:
The domain of a one-to-one function g is ( ,0 ] , and its range is [ 0, ) . State the domain and the...Problem 82AE:
The domain of a one-to-one function g is [0,15] , and its range is (0,8) . State the domain and the...Problem 83AE:
A function y=f( x ) is increasing on the interval [0,5] . What conclusions can you draw about the...Problem 84AE:
A function y=f( x ) is decreasing on the interval [0,5] . What conclusions can you draw about the...Problem 85AE:
Find the inverse of the linear function f( x )=mx+b,m0Problem 86AE:
Find the inverse of the function f(x)= r 2 + x 2 , 0xrProblem 87AE:
A function f has an inverse function f 1 . If the graph of f lies quadrant I, in which quadrant does...Problem 88AE:
A function f has an inverse function f 1 . If the graph of f lies quadrant II, in which quadrant...Problem 89AE:
The function f( x )=| x | is not one-to-one. Find a suitable restriction on the domain of f so that...Problem 90AE:
The function f( x )= x 4 is not one-to-one. Find a suitable restriction on the domain of f so that...Problem 91AE:
In applications, the symbols used for the independent and dependent variables are often based on...Problem 92AE:
In applications, the symbols used for the independent and dependent variables are often based on...Problem 93AE:
In applications, the symbols used for the independent and dependent variables are often based on...Problem 94AE:
In applications, the symbols used for the independent and dependent variables are often based on...Problem 95AE:
Income Taxes The function T( g )=5156.25+0.25( g37,450 ) represents the 2015 federal income tax T...Problem 96AE:
Income Taxes The function T( g )=1845+0.15( g18,450 ) represents the 2015 federal income tax T (in...Problem 97AE:
Gravity on Earth If a rock falls from a height of 100 meters on Earth, the height H (in meters)...Problem 98AE:
Period of a Pendulum The period T (in seconds) of a simple pendulum as a function of its length l...Problem 99AE:
Given f( x )= ax+b cx+d f 1 ( x ) . If c0 , under what conditions on a , b , c , d is f= f 1 ?Problem 100DW:
Can a one-to-one function and its inverse be equal? What must be true about the graph of f for this...Problem 101DW:
Draw the graph of a one-to-one function that contains the points (2,3) , (0,0) and (1,5) . Now draw...Problem 102DW:
Give an example of a function whose domain is the set of real numbers and that is neither increasing...Problem 103DW:
Is every odd function one-to-one? Explain.Problem 104DW:
Suppose that C( g ) represents the cost C , in dollars, of manufacturing g cars. Explain what C 1 (...Problem 105DW:
Explain why the horizontal-line test can be used to identify one-to-one functions from a graph.Problem 106DW:
Explain why a function must be one-to-one in order to have an inverse that is a function. Use the...Problem 107RYK:
Problems 107-110 are based on material learned earlier in the course. The purpose of these problems...Problem 108RYK:
Problems 107-110 are based on material learned earlier in the course. The purpose of these problems...Browse All Chapters of This Textbook
Chapter 1.1 - The Distance And Midpoint Formulas; Graphing Utilities; Introduction To Graphing EquationsChapter 1.2 - Intercepts; Symmetry; Graphing Key EquationsChapter 1.3 - Solving Equations Using A Graphing UtilityChapter 1.4 - LinesChapter 1.5 - CirclesChapter 1.R - ReviewChapter 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 2.R - ReviewChapter 2.CR - Cumulative ReviewChapter 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 3.R - Chapter ReviewChapter 3.CT - Chapter TestChapter 3.CR - Cumulative ReviewChapter 4.1 - Polynomial Functions And ModelsChapter 4.2 - The Real Zeros Of A Polynomial FunctionChapter 4.3 - Complex Zeros; Fundamental Theorem Of AlgebraChapter 4.4 - Properties Of Rational FunctionsChapter 4.5 - The Graph Of A Rational FunctionChapter 4.6 - Polynomial And Rational InequalitiesChapter 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 5.R - ReviewChapter 6.1 - Angles And Their MeasureChapter 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 7.1 - 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 7.R - ReviewChapter 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 8.R - ReviewChapter 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 10.2 - 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 10.R - ReviewChapter 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 12.1 - SequencesChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric Sequences; Geometric SeriesChapter 12.4 - Mathematical InductionChapter 12.5 - The Binomial TheoremChapter 13.1 - CountingChapter 13.2 - Permutations And CombinationsChapter 13.3 - ProbabilityChapter 13.R - ReviewChapter 14.1 - Finding Limits Using Tables And GraphsChapter 14.2 - Algebra Techniques For Finding LimitsChapter 14.3 - One-sided Limits; Continuous FunctionsChapter 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 - The Limit Of A Sequence; Infinite Series
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