Solutions for MML PRECALCULUS ENHANCED
Problem 1AYP:
‘Are You Prepared?' Answers are given at the end of these exercises. If you get a wrong answer,...Problem 2AYP:
‘Are You Prepared?' Answers are given at the end of these exercises. If you get a wrong answer,...Problem 3AYP:
‘Are You Prepared?' Answers are given at the end of these exercises. If you get a wrong answer,...Problem 4AYP:
‘Are You Prepared?' Answers are given at the end of these exercises. If you get a wrong answer,...Problem 5AYP:
‘Are You Prepared?' Answers are given at the end of these exercises. If you get a wrong answer,...Problem 6CV:
6. A function f is _____ on an interval I if, for any choice of x 1 , and x 2 in I , with x 1 x 2...Problem 7CV:
7. A(n) ______ function f is one for which f( x )=f( x ) for every x in the domain of f ; a(n)...Problem 8CV:
8. True or False A function f is decreasing on an interval I if, for any choice of x 1 and x 2 in I...Problem 9CV:
9. True or False A function f has a local maximum at c if there is an open interval I containing c...Problem 10CV:
10. True or False Even functions have graphs that are symmetric with respect to the origin.Problem 11CV:
11. An odd function is symmetric with respect to _______. a. the x-axis b. the y-axis c. the origin...Problem 12CV:
12. Which of the following intervals is required to guarantee a continuous function will have both...Problem 13SB:
In Problems 13-24, use the graph of the function f given. 13. Is f increasing on the interval [ 8,2...Problem 14SB:
In Problems 13-24, use the graph of the function f given. 14. Is f decreasing on the interval [ 8,4...Problem 15SB:
In Problems 13-24, use the graph of the function f given. 15. Is f increasing on the interval [ 2,6...Problem 16SB:
In Problems 13-24, use the graph of the function f given. 16. Is f decreasing on the interval [ 2,5...Problem 17SB:
In Problems 13-24, use the graph of the function f given. 17. List the interval(s) on which f...Problem 18SB:
In Problems 13-24, use the graph of the function f given. 18. List the interval(s) on which f...Problem 19SB:
In Problems 13-24, use the graph of the function f given. 19. Is there a local maximum at 2? If yes,...Problem 20SB:
In Problems 13-24, use the graph of the function f given. 20. Is there a local maximum at 5? If yes,...Problem 21SB:
In Problems 13-24, use the graph of the function f given. 21. List the number(s) at which f has a...Problem 22SB:
In Problems 13-24, use the graph of the function f given. 22. List the number(s) at which f has a...Problem 23SB:
In Problems 13-24, use the graph of the function f given. 23. Find the absolute minimum of f on [...Problem 24SB:
In Problems 13-24, use the graph of the function f given. 24. Find the absolute minimum of f on [...Problem 25SB:
In Problems 25-32, the graph of a function is given. Use the graph to find: a. The intercepts, if...Problem 26SB:
In Problems 25-32, the graph of a function is given. Use the graph to find: a. The intercepts, if...Problem 27SB:
In Problems 25-32, the graph of a function is given. Use the graph to find: a. The intercepts, if...Problem 28SB:
In Problems 25-32, the graph of a function is given. Use the graph to find: a. The intercepts, if...Problem 29SB:
In Problems 25-32, the graph of a function is given. Use the graph to find: a. The intercepts, if...Problem 30SB:
In Problems 25-32, the graph of a function is given. Use the graph to find: a. The intercepts, if...Problem 31SB:
In Problems 25-32, the graph of a function is given. Use the graph to find: a. The intercepts, if...Problem 32SB:
In Problems 25-32, the graph of a function is given. Use the graph to find: a. The intercepts, if...Problem 33SB:
In Problems 33-36, the graph of a function f is given. Use the graph to find: a. The numbers, if...Problem 34SB:
In Problems 33-36, the graph of a function f is given. Use the graph to find: a. The numbers, if...Problem 35SB:
In Problems 33-36, the graph of a function f is given. Use the graph to find: a. The numbers, if...Problem 36SB:
In Problems 33-36, the graph of a function f is given. Use the graph to find: a. The numbers, if...Problem 37SB:
In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 37. f( x...Problem 38SB:
In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 38. f( x...Problem 39SB:
In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 39. g( x...Problem 40SB:
In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 40. h( x...Problem 41SB:
In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 41. F( x...Problem 42SB:
In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 42. G( x...Problem 43SB:
In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 43. f( x...Problem 44SB:
In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 44. f( x...Problem 45SB:
In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 45. g( x...Problem 46SB:
In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 46. h( x...Problem 47SB:
In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 47. h( x...Problem 48SB:
In Problems 37-48, determine algebraically whether each function is even, odd, or neither. 48. F( x...Problem 49SB:
In Problem 49-56, for each graph of a function y=f( x ) , find the absolute maximum and the absolute...Problem 50SB:
In Problem 49-56, for each graph of a function y=f( x ) , find the absolute maximum and the absolute...Problem 51SB:
In Problem 49-56, for each graph of a function y=f( x ) , find the absolute maximum and the absolute...Problem 52SB:
In Problem 49-56, for each graph of a function y=f( x ) , find the absolute maximum and the absolute...Problem 53SB:
In Problem 49-56, for each graph of a function y=f( x ) , find the absolute maximum and the absolute...Problem 54SB:
In Problems 49-56, for each graph of a function y=f( x ) , find the absolute maximum and the...Problem 55SB:
In Problems 49-56, for each graph of a function y=f( x ) , find the absolute maximum and the...Problem 56SB:
In Problems 49-56, for each graph of a function y=f( x ) , find the absolute maximum and the...Problem 57SB:
In Problems 57-64, use a graphing utility to graph each function over the indicated interval and...Problem 58SB:
In Problems 57-64, use a graphing utility to graph each function over the indicated interval and...Problem 59SB:
In Problems 57-64, use a graphing utility to graph each function over the indicated interval and...Problem 60SB:
In Problems 57-64, use a graphing utility to graph each function over the indicated interval and...Problem 61SB:
In Problems 57-64, use a graphing utility to graph each function over the indicated interval and...Problem 62SB:
In Problems 57-64, use a graphing utility to graph each function over the indicated interval and...Problem 63SB:
In Problems 57-64, use a graphing utility to graph each function over the indicated interval and...Problem 64SB:
In Problems 57-64, use a graphing utility to graph each function over the indicated interval and...Problem 65SB:
65. Find the average rate of change of f( x )=2 x 2 +4 (a) From 0 to 2 (b) From 1 to 3 (c) From 1 to...Problem 66SB:
66. Find the average rate of change of f( x )= x 3 +1 : (a) From 0 to 2 (b) From 1 to 3 (c) From -1...Problem 67SB:
67. Find the average rate of change of g( x )= x 3 2x+1 : (a) From -3 to -2 (b) From -1 to 1 (c)...Problem 68SB:
68. Find the average rate of change of h( x )= x 2 2x+3 : (a) From -1 to 1 (b) From 0 to 2 (c) From...Problem 69SB:
69. f( x )=5x2 (a) Find the average rate of change from 1 to 3. (a) Find an equation of the secant...Problem 70SB:
70. f( x )=4x+1 (a) Find the average rate of change from 2 to 5. (b) Find an equation of the secant...Problem 71SB:
71. g( x )= x 2 2 (a) Find the average rate of change from -2 to 1. (b) Find an equation of the...Problem 72SB:
72. g( x )= x 2 +1 (a) Find the average rate of change from -1 to 2. (b) Find an equation of the...Problem 73SB:
73. h( x )= x 2 2x (a) Find the average rate of change from 2 to 4. (b) Find an equation of the...Problem 74SB:
74. h( x )=2 x 2 +x (a) Find the average rate of change from 0 to 3. (b) Find an equation of the...Problem 75MP:
75. g( x )= x 3 27x (a) Determine whether g is even, odd, or neither. (b) There is a local minimum...Problem 76MP:
76. f( x )= x 3 +12x (a) Determine whether f is even, odd, or neither. (b) There is a local maximum...Problem 77MP:
77. F( x )= x 4 +8 x 2 +9 (a) Determine whether F is even, odd, or neither. (b) There is a local...Problem 78MP:
78. G( x )= x 4 +32 x 2 +144 (a) Determine whether G is even, odd, or neither. (b) There is a local...Problem 79MP:
79. Minimum Average Cost The average cost per hour in dollars, C , of producing x riding lawn...Problem 80AE:
80. Medicine Concentration The concentration C of a medication in the bloodstream t hours after...Problem 81AE:
81. Data Plan Cost The monthly cost C, in dollars, for wireless data plans with x gigabytes of data...Problem 82AE:
82. National Debt The size of the total debt owed by the United States federal government continues...Problem 83AE:
83. E. coli Growth A strain of E. coli Beu 397-recA441 is placed into a nutrient broth at 30 Celsius...Problem 84AE:
84. e-Filing Tax Returns The Internal Revenue Service Restructuring and Reform Act (RRA) was signed...Problem 85AE:
85. For the function f( x )= x 2 , compute the average rate of change: (a) From 0 to 1 (b) From 0 to...Problem 86AE:
86. For the function f( x )= x 2 , compute the average rate of change: (a) From 1 to 2 (b) From 1 to...Problem 87AE:
Problems 87-94 require the following discussion of a secant line. The slope of the secant line...Problem 88AE:
Problems 87-94 require the following discussion of a secant line. The slope of the secant line...Problem 89AE:
Problems 87-94 require the following discussion of a secant line. The slope of the secant line...Problem 90AE:
Problems 87-94 require the following discussion of a secant line. The slope of the secant line...Problem 91AE:
Problems 87-94 require the following discussion of a secant line. The slope of the secant line...Problem 92AE:
Problems 87-94 require the following discussion of a secant line. The slope of the secant line...Problem 93AE:
Problems 87-94 require the following discussion of a secant line. The slope of the secant line...Problem 94AE:
Problems 87-94 require the following discussion of a secant line. The slope of the secant line...Problem 95AE:
95. Draw the graph of a function that has the following properties: domain: all real numbers; range:...Problem 96DW:
96. Redo Problem 95 with the following additional information: increasing on (,1] , [2,) ;...Problem 97DW:
97. How many x-intercept can a function defined on an interval have if it is increasing on that...Problem 99DW:
99. Can a function be both even and odd? Explain.Problem 100DW:
100. Using a graphing utility, graph y=5 on the interval [ 3,3 ] . Use MAXIMUM to find the local...Problem 102DW:
102. Show that a constant function f( x )=b has an average rate of change of 0. Compute the average...Problem 104DW:
Problems 103-106 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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Precalculus Enhanced with Graphing Utilities Plus MyLab Math with Pearson eText - Access Card Package (7th Edition) (Sullivan & Sullivan Precalculus Titles)
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Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
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Precalculus: Enhanced With Graphing Utilities Instructor's 7th Edition W/answers
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Pearson eText Precalculus Enhanced with Graphing Utilities -- Instant Access (Pearson+)
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