Precalculus11th EditionMichael Sullivan Publisher: PEARSONISBN: 9780135189405
Precalculus
Solutions for Precalculus
Problem 1RE:
In Problems 1-3: (a) Determine the slope and y-intercept of each linear function. (b) Find the...Problem 2RE:
In Problems:
Find the slope and-intercept of each linear function.
What is the average rate of...Problem 3RE:
In Problems 1-3: (a) Determine the slope and y-intercept of each linear function. (b) Find the...Problem 4RE:
In Problems 4 and 5, determine whether the function is linear or nonlinear. If the function is...Problem 5RE:
In Problems 4 and 5, determine whether the function is linear or nonlinear. If the function is...Problem 6RE:
In Problems, graph each quadratic function using transformations (shifting, compressing, stretching,...Problem 7RE:
In Problems 6-8, graph each quadratic function using transformations (shifting, compressing,...Problem 8RE:
In Problems, graph each quadratic function using transformations (shifting, compressing, stretching,...Problem 9RE:
In Problems 6-8, graph each quadratic function using transformations (shifting, compressing,...Problem 10RE:
In Problems 913, (a) graph each quadratic function by determining whether its graph is concave up or...Problem 11RE:
In Problems 9-14, (a) graph each quadratic function by determining whether its graph opens up or...Problem 12RE:
In Problems 913, (a) graph each quadratic function by determining whether its graph is concave up or...Problem 13RE:
In Problems 9-14, (a) graph each quadratic function by determining whether its graph opens up or...Problem 14RE:
In Problems 15-17, determine whether the given quadratic function has a maximum value or a minimum...Problem 15RE:
In Problems 15-17, determine whether the given quadratic function has a maximum value or a minimum...Problem 16RE:
In Problems, determine whether the given quadratic functions has a maximum value or a minimum value,...Problem 19RE:
In Problems 19 and 20, find the quadratic function for which: Vertex is (2,4);y-intercept is 16Problem 20RE:
20. In Problems 20 and 21, find the quadratic function for which: Vertex is (1,2) ; contains the...Problem 21RE:
22. Sales Commissions Bill has just been offered a sales position for a computer company. His salary...Problem 22RE:
Demand Equation The price(in dollars) and the quantitysold of a certain product satisfy the demand...Problem 23RE:
Landscaping A landscape engineer has 200 feet of border to enclose a rectangular pond. What...Problem 24RE:
24. Enclosing the Most Area with a Fence A farmer with 10,000 meters of fencing wants to enclose a...Problem 25RE:
Architecture A special window in the shape of a rectangle with semicircles at each end is to be...Problem 26RE:
25. Minimizing Marginal Cost Callaway Golf Company has determined that the marginal cost C of...Problem 27RE:
26. Maximizing Area A rectangle has one vertex on the line y=10x . x0 , another at the origin, one...Problem 28RE:
27. Parabolic Arch Bridge A horizontal bridge is in the shape of a parabolic arch. Given the...Problem 29RE:
28. Bono Length Research performed at NASA, led by Dr. Emily R. Morey-Holton, measured the lengths...Problem 30RE:
29. Advertising A small manufacturing firm collected the following data on advertising expenditures...Problem 1CT:
For the linear function f( x )=4x+3 , a. Find the slope and y-intercept . b. Determine whether f is...Problem 2CT:
In Problems 2 and 3, find the intercepts, if any, of each quadratic function. f(x)=3x22x8Problem 5CT:
Graph f(x)= (x3) 2 2 using transformations.Problem 4CT:
Supposeand.
Solve
Graph each function and label the points of intersection.
Solve the inequalityand...Problem 6CT:
Consider the quadratic function
Is the graph concave up or concave down?
Find the vertex.
Find the...Problem 7CT:
Determine whether f( x )=-2 x 2 +12x+3 has a maximum or minimum value. Then find the maximum or...Problem 8CT:
Solve, x 2 10x+240 .Problem 9CT:
The weekly rental cost of a 20-foot recreational vehicle is 129.50 plus 0.15 per mile. a. Find a...Problem 10CT:
Maximizing Revenue The price p(in dollars) and the quantity x sold of a certain product satisfy the...Problem 1CR:
Find the distance between the points P=( 1,3 ) and Q=( 4,2 ) . Find the midpoint of the line segment...Problem 2CR:
Which of the following points are on the graph of, y= x 3 3x+1 ? a. ( 2,1 ) b. ( 2,3 ) c. ( 3,1 )Problem 4CR:
Find the equation of the line containing the points ( 1,4 ) and ( 2,2 ) . Express your answer in...Problem 5CR:
Find the equation of the line perpendicular to the line y=2x+1 and containing the point ( 3,5 ) ....Problem 6CR:
Graph the equation x 2 + y 2 4x+8y5=0 .Problem 8CR:
For the function f defined by f( x )= x 2 4x+1 , find: a. f( 2 ) b. f( x )+f( 2 ) c. f( x ) d. f( x...Problem 9CR:
Find the domain of h(z)= 3z1 6z7 .Problem 10CR:
Is the following graph the graph of a function?Problem 11CR:
Consider the function f(x)= x x+4 . a. Is the point (1, 1 4 ) on the graph of f ? b. If x=2 , what...Problem 12CR:
Is the function f(x)= x 2 2x+1 even, odd, or neither?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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