Solutions for Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Problem 1AYP:
4 3 = ; 8 2/3 = ; 3 2 = . (pp. A8-A9 and pp, A89-A91)Problem 2AYP:
Solve: x 2 +3x=4 (pp. A47-A52)Problem 3AYP:
True or False To graph y= (x2) 3 , shift the graph of y= x 3 to the left 2 units. (pp. 106-114)Problem 5AYP:
True or False The function f(x)= 2x x3 has y=2 as a horizontal asymptote. (pp. 227-229)Problem 6CV:
A( n ) _______ is a function of the form f( x )=C a x , where a0 , a1 , and C0 are real numbers. The...Problem 8CV:
True or False The domain of the exponential function f( x )= a x , where a0 and a1 , is the set of...Problem 9CV:
True or False The graph of the exponential function f( x )= a x , where a0 and a1 , has no...Problem 10CV:
The graph of every exponential function f( x )= a x where a0 and a1 , passes through three points...Problem 11CV:
11. If 3 x = 3 4 , then x= _______.Problem 13CV:
Which of the following exponential functions is an increasing function? (a) f(x)= 0.5 x (b) f(x)= (...Problem 14CV:
Which of the following is the range of the exponential function f(x)= a x , a0 and a1 ? (a) ( , ) ...Problem 15SB:
In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three...Problem 16SB:
In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three...Problem 17SB:
In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three...Problem 18SB:
In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three...Problem 19SB:
In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three...Problem 20SB:
In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three...Problem 21SB:
In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three...Problem 22SB:
In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three...Problem 23SB:
In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three...Problem 24SB:
In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three...Problem 25SB:
In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three...Problem 26SB:
In Problems 15-26, approximate each number using a calculator. Express your answer rounded to three...Problem 27SB:
In Problems 27-34, determine whether the given function is linear, exponential, or neither. For...Problem 28SB:
In Problems 27-34, determine whether the given function is linear, exponential, or neither. For...Problem 29SB:
In Problems 27-34, determine whether the given function is linear, exponential, or neither. For...Problem 30SB:
In Problems 27-34, determine whether the given function is linear, exponential, or neither. For...Problem 31SB:
In Problems 27-34, determine whether the given function is linear, exponential, or neither. For...Problem 32SB:
In Problems 27-34, determine whether the given function is linear, exponential, or neither. For...Problem 33SB:
In Problems 27-34, determine whether the given function is linear, exponential, or neither. For...Problem 34SB:
In Problems 27-34, determine whether the given function is linear, exponential, or neither. For...Problem 35SB:
In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the...Problem 36SB:
In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the...Problem 37SB:
In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the...Problem 38SB:
In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the...Problem 39SB:
In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the...Problem 40SB:
In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the...Problem 41SB:
In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the...Problem 42SB:
In Problems 35-42, the graph of an exponential function is given. Match each graph to one of the...Problem 43SB:
In Problems 43-54, use transformations to graph each function. Determine the domain, range, and...Problem 44SB:
In Problems 43-54, use transformations to graph each function. Determine the domain, range, and...Problem 45SB:
In Problems 43-54, use transformations to graph each function. Determine the domain, range, and...Problem 46SB:
In Problems 43-54, use transformations to graph each function. Determine the domain, range, and...Problem 47SB:
In Problems 43-54, use transformations to graph each function. Determine the domain, range, and...Problem 48SB:
In Problems 43-54, use transformations to graph each function. Determine the domain, range, and...Problem 49SB:
In Problems 43-54, use transformations to graph each function. Determine the domain, range, and...Problem 50SB:
In Problems 43-54, use transformations to graph each function. Determine the domain, range, and...Problem 51SB:
In Problems 43-54, use transformations to graph each function. Determine the domain, range, and...Problem 52SB:
In Problems 43-54, use transformations to graph each function. Determine the domain, range, and...Problem 53SB:
In Problems 43-54, use transformations to graph each function. Determine the domain, range, and...Problem 54SB:
In Problems 43-54, use transformations to graph each function. Determine the domain, range, and...Problem 55SB:
In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each...Problem 56SB:
In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each...Problem 57SB:
In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each...Problem 58SB:
In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each...Problem 59SB:
In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each...Problem 60SB:
In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each...Problem 61SB:
In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each...Problem 62SB:
In Problems 55-62, begin with the graph of y= e x (Figure 31) and use transformations to graph each...Problem 63SB:
In Problems 63-82, solve each equation. 7 x = 7 3Problem 64SB:
In Problems 63-82, solve each equation. 5 x = 5 6Problem 65SB:
In Problems 63-82, solve each equation. 2 x =16Problem 66SB:
In Problems 63-82, solve each equation. 3 x =81Problem 67SB:
In Problems 63-82, solve each equation. ( 1 5 ) x = 1 25Problem 68SB:
In Problems 63-82, solve each equation. ( 1 4 ) x = 1 64Problem 69SB:
In Problems 63-82, solve each equation. 2 2x1 =4Problem 70SB:
In Problems 63-82, solve each equation. 5 x+3 = 1 5Problem 71SB:
In Problems 63-82, solve each equation. 71. 3 x 3 = 9 xProblem 72SB:
In Problems 63-82, solve each equation. 72. 4 x 2 = 2 xProblem 79SB:
In Problems 63-82, solve each equation. 79. e x = e 3x+8Problem 80SB:
In Problems 63-82, solve each equation. 80. e 3x = e 2xProblem 83SB:
83. If 4 x =7 , what does 4 2 x equal?Problem 84SB:
84. If 2 x =3 , what does 4 x equal?Problem 85SB:
85. If 3 x =2 , what does 3 2 x equal?Problem 86SB:
86. If 5 x =3 , what does 5 3 x equal?Problem 87SB:
87. If 9 x =25 , what does 3 x equal?Problem 88SB:
88. If 2 3x = 1 1000 , what does 2 x equal?Problem 93SB:
93. Find an exponential function with horizontal asymptote y=2 whose graph contains the points ( 0,3...Problem 94SB:
94. Find an exponential function with horizontal asymptote y=3 whose graph contains the points ( 0,2...Problem 95MP:
95. Suppose that f(x)= 2 x . a) What is f(4) ? What point is on the graph of f? b) If f(x)= 1 16 ,...Problem 96MP:
96. Suppose that f(x)= 3 x . a) What is f( 4 ) ? What point is on the graph of f? b) If f(x)= 1 9 ,...Problem 97MP:
97. Suppose that g(x)= 4 x +2 . a) What is g( 1 ) ? What point is on the graph of g? b) If g(x)=66 ,...Problem 98MP:
98. Suppose that g(x)= 5 x 3 . a) What is g( 1 ) ? What point is on the graph of g? b) If g(x)=122 ,...Problem 99MP:
99. Suppose that H(x)= ( 1 2 ) x 4 . a) What is H(6) ? What point is on the graph of H? b) If H( x...Problem 100MP:
100. Suppose that F(x)= ( 1 3 ) x 3 . a) What is F( 5 ) ? What point is on the graph of F? b) If F(...Problem 101MP:
In Problems 101-104, graph each function. Based on the graph, state the domain and the range, and...Problem 102MP:
In Problems 101-104, graph each function. Based on the graph, state the domain and the range, and...Problem 103MP:
In Problems 101-104, graph each function. Based on the graph, state the domain and the range, and...Problem 104MP:
In Problems 101-104, graph each function. Based on the graph, state the domain and the range, and...Problem 105AE:
105. Optics If a single pane of glass obliterates 3 of the light passing through it, the percent p...Problem 106AE:
106. Atmospheric Pressure The atmospheric pressure p on a balloon or airplane decreases with...Problem 107AE:
107. Depreciation The price p, in dollars, of a Honda Civic EX-L sedan that is x years old is...Problem 108AE:
108. Healing of Wounds The normal healing of wounds can be modeled by an exponential function. If A...Problem 109AE:
109. Advanced-Stage Pancreatic Cancer The percentage of patients P who have survived t years after...Problem 110AE:
110. Endangered Species In a protected environment, the population P of a certain endangered species...Problem 111AE:
111. Drug Medication The function D(h)=5 e 0.4h can be used to find the number of milligrams D of a...Problem 112AE:
112. Spreading of Rumors A model for the number N of people in a college community who have heard a...Problem 113AE:
113. Exponential Probability Between 12:00 PM and 1:00 PM. cars arrive at Citibank's drive-thru at...Problem 114AE:
114. Exponential Probability Between 5:00 PM and 6:00 PM, cars arrive at Jiffy Lube at the rate of 9...Problem 115AE:
115. Poisson Probability Between 5:00 PM and 6:00 PM, cars arrive at a McDonald’s drive-thru at...Problem 116AE:
116. Poisson Probability People enter a line for the Demon Roller Coaster at the rate of 4 per...Problem 117AE:
117. Relative Humidity The relative humidity is the ratio (expressed as a percent) of the amount of...Problem 118AE:
118. Learning Curve Suppose that a student has 500 vocabulary words to learn. If the student learns...Problem 119AE:
119. Current in an RL Circuit The equation governing the amount of current I (in amperes) after time...Problem 120AE:
120. Current in an RC Circuit The equation governing the amount of current I (in amperes) after lime...Problem 121AE:
121. If f is an exponential function of the form f(x)=C a x with growth factor 3, and if f( 6 )=12 ,...Problem 122AE:
122. Another Formula for e Use a calculator to compute the values of 2+ 1 2! + 1 3! ++ 1 n! for...Problem 123AE:
123. Another Formula for e Use a calculator to compute the various values of the expression. Compare...Problem 126AE:
126. If f(x)= a x , show that f(x)= 1 f(x)Problem 127AE:
127. If f(x)= a x , show that f(ax)= [f(x)] . Problems 128 and 129 provide definitions for two...Problem 128AE:
128. The hyperbolic sine function, designated by sinh x, is defined as sinhx= 1 2 ( e x e x ) (a)...Problem 129AE:
129. The hyperbolic cosine function, designated by cosh x, is defined as coshx= 1 2 ( e x + e x )...Problem 130AE:
130. Historical Problem Pierre de Fermat (1601-1665) conjectured that the function f(x)= 2 ( 2 x )...Problem 131DW:
131. The bacteria in a 4-liter container double every minute. After 60 minutes the container is...Problem 132DW:
132. Explain in your own words what the number e is. Provide at least two applications that use this...Problem 133DW:
133. Do you think that there is a power function that increases more rapidly than an exponential...Problem 134DW:
134. As the base a of an exponential function f(x)= a x , where a1 , increases, what happens to the...Problem 136RYK:
Problems 136-139 are based on material learned earlier in the course. The purpose of these problems...Problem 137RYK:
Problems 136-139 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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