Pearson eText for Precalculus: Concepts...4th EditionMichael Sullivan, Michael Sullivan Publisher: PEARSON+ISBN: 9780137399635
Pearson eText for Precalculus: Concepts...
Solutions for Pearson eText for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- Instant Access (Pearson+)
Problem 1RE:
In Problems 14, determine whether the function is a polynomial function, a rational function, or...Problem 2RE:
In Problems 14, determine whether the function is a polynomial function, a rational function, or...Problem 3RE:
In Problems 14, determine whether the function is a polynomial function, a rational function, or...Problem 4RE:
In Problems 14, determine whether the function is a polynomial function, a rational function, or...Problem 5RE:
In Problems 57, graph each function using transformation(shifting, compressing, stretching, and...Problem 6RE:
In Problems 57, graph each function using transformation(shifting, compressing, stretching, and...Problem 7RE:
In Problems 57, graph each function using transformation(shifting, compressing, stretching, and...Problem 8RE:
In Problems 811, graph each function by following Steps 1 through 5 on page 191. f(x)=x(x+2)(x+4)Problem 9RE:
In Problems 811, graph each function by following Steps 1 through 5 on page 191. f(x)=(x2)2(x+4)Problem 10RE:
In Problems 811, graph each function by following Steps 1 through 5 on page 191. f(x)=2x2+4x2Problem 33RE:
In Problems 1214, find the domain of each rational function. Find any horizontal, vertical, or...Problem 34RE:
In Problems 1214, find the domain of each rational function. Find any horizontal, vertical, or...Problem 35RE:
In Problems 1214, find the domain of each rational function. Find any horizontal, vertical, or...Problem 36RE:
In Problems 1520, graph each rational function following the seven steps on page 211. R(x)=2x6xProblem 37RE:
In Problems 1520, graph each rational function following the seven steps on page 211. H(x)=x+2x(x2)Problem 38RE:
In Problems 1520, graph each rational function following the seven steps on page 211. R(x)=x2+x6x2x6Problem 39RE:
In Problems 1520, graph each rational function following the seven steps on page 211. F(x)=x3x24Problem 40RE:
In Problems 1520, graph each rational function following the seven steps on page 211. R(x)=2x4(x1)2Problem 41RE:
In Problems 1520, graph each rational function following the seven steps on page 211. G(x)=x24x2x2Problem 12RE:
In Problems 26 and 27, find the remainder R when f(x) is divided by g(x). Is g a factor of f?...Problem 13RE:
In Problems 26 and 27, find the remainder R when f(x) is divided by g(x). Is g a factor of f?...Problem 14RE:
Find the value of f(x)=12x68x4+1 at x=4.Problem 15RE:
In the Problems 29 and 30, use Descartess Rule of Signs to determine how many positive and negative...Problem 16RE:
In the Problems 2930, use Descartess Rule of Signs to determine how many positive and negative real...Problem 18RE:
In the Problems 3234, use the Rational Zeros Theorem to find all the real zeros of each polynomial...Problem 19RE:
In the Problems 3234, use the Rational Zeros Theorem to find all the real zeros of each polynomial...Problem 20RE:
In the Problems 3234, use the Rational Zeros Theorem to find all the real zeros of each polynomial...Problem 21RE:
In the Problems 35 and 36, solve each equation in the real number system. 2x4+2x311x2+x6=0Problem 22RE:
In the Problems 35 and 36, solve each equation in the real number system. 2x4+7x3+x27x3=0Problem 23RE:
In the Problems 37 and 38, find bounds on the real zeros of each number system. f(x)=x3x24x+2Problem 24RE:
In the Problems 37 and 38, find bounds on the real zeros of each number system. f(x)=2x37x210x+35Problem 25RE:
In the Problems 39 and 40, use the Intermediate Value Theorem to show that each polynomial function...Problem 26RE:
In the Problems 39 and 40, use the Intermediate Value Theorem to show that each polynomial function...Problem 27RE:
In the Problems 43 and 43, information is given about a complex polynomial f whose coefficients are...Problem 28RE:
In the Problems 43 and 44, information is given about a complex polynomial f whose coefficients are...Problem 29RE:
In the Problems 4548, find the complex zeros of each polynomial function f. Write f in factored...Problem 30RE:
In the Problems 4548, find the complex zeros of each polynomial function f. Write f in factored...Problem 31RE:
In the Problems 4548, find the complex zeros of each polynomial function f. Write f in factored...Problem 32RE:
In the Problems 4548, find the complex zeros of each polynomial function f. Write f in factored...Problem 42RE:
Use the graph below of a polynomial function y=f(x) to (a) solve f(x)=0, (b) solve f(x)0, (c) solve...Problem 43RE:
Use the graph below of a rational function y=R(x) to (a) identify the horizontal asymptote of R, (b)...Problem 49RE:
Making a Can A can in the shape of a right circular cylinder is required to have a volume of 250...Problem 50RE:
Housing Prices The data in the table on the right represent the January median new-home prices in...Problem 1CT:
Graph f(x)=(x3)42 using transformations.Problem 2CT:
For the polynomial function g(x)=2x3+5x228x15, Determine the maximum number of real zeros that the...Problem 3CT:
Find the complex zeros of f(x)=x34x2+25x100.Problem 5CT:
In problems 5 and 6, find the domain of each function. Find any horizontal, vertical, or oblique...Problem 6CT:
In problems 5 and 6, find the domain of each function. Find any horizontal, vertical, or oblique...Problem 7CT:
Graph the function in Problem 6. Label all intercepts, vertical asymptotes, horizontal asymptotes,...Problem 8CT:
In Problems 8 and 9, write a function that meets the given condition. Fourth degree polynomial with...Problem 10CT:
Use the Intermediate Value Theorem to show that the function f(x)=2x23x+8 has at least one zero on...Problem 11CT:
Solve: x+2x32Problem 2CR:
Solve the inequality x2x and graph the solution set.Problem 5CR:
Find the equation of the line parallel to the line y=2x+1 and consisting the point (3,5). Express...Problem 6CR:
Graph the equation y=x3.Problem 7CR:
Does the relation {(3, 6), (1, 3), (2, 5), (3, 8)} represent a function? Why or why not?Problem 8CR:
Solve the equation x36x2+8x=0.Problem 15CR:
Answer the following questions regarding the function f(x)=x+5x1 what is the domain of f? Is the...Problem 16CR:
Graph the function f(x)=3x+7.Problem 17CR:
Graph f(x)=2x24x+1 by determining whether its graph is concave up or concave down and by finding its...Problem 18CR:
Find the average rate of change of f(x)=x2+3x+1 from 1 to 2. Use this result to find the equation of...Problem 19CR:
In parts (a) to (f), use the following graph, Find the intercepts Based on the graph, tell whether...Problem 21CR:
For the function f(x)={2x+1if3x23x+4ifx2 Find the domain of f. Locate any intercepts. Graph the...Problem 22CR:
Graph the function f(x)=3(x+1)2+5 using transformations.Browse All Chapters of This Textbook
Chapter F - Foundations: A Prelude To FunctionsChapter F.1 - The Distance And Midpoint FormulasChapter F.2 - Graphs Of Equations In Two Variables; Intercepts; SymmetryChapter F.3 - LinesChapter F.4 - CirclesChapter 1 - Functions And Their GraphsChapter 1.1 - FunctionsChapter 1.2 - The Graph Of A FunctionChapter 1.3 - Properties Of FunctionsChapter 1.4 - Library Of Functions; Piecewise-defined Functions
Chapter 1.5 - Graphing Techniques: TransformationsChapter 1.6 - Mathematical Models: Building FunctionsChapter 1.7 - Building Mathematical Models Using VariationChapter 2 - Linear And Quadratic FunctionsChapter 2.1 - Properties Of Linear Functions And Linear ModelsChapter 2.2 - Building Linear Models From DataChapter 2.3 - Quadratic Functions And Their ZerosChapter 2.4 - Properties Of Quadratic FunctionsChapter 2.5 - Inequalities Involving Quadratic FunctionsChapter 2.6 - Building Quadratic Models From Verbal Descriptions And From DataChapter 2.7 - Complex Zeros Of A Quadratic FunctionChapter 2.8 - Equations And Inequalities Involving The Absolute Value FunctionChapter 3 - Polynomial And Rational FunctionsChapter 3.1 - Polynomial Functions And ModelsChapter 3.2 - The Real Zeros Of A Polynomial FunctionChapter 3.3 - Complex Zeros; Fundamental Theorem Of AlgebraChapter 3.4 - Properties Of Rational FunctionsChapter 3.5 - The Graph Of A Rational FunctionChapter 3.6 - Polynomial And Rational InequalitiesChapter 4 - Exponential And Logarithmic FunctionsChapter 4.1 - Composite FunctionsChapter 4.2 - One-to-one Functions; Inverse FunctionsChapter 4.3 - Exponential FunctionsChapter 4.4 - Logarithmic FunctionsChapter 4.5 - Properties Of LogarithmsChapter 4.6 - Logarithmic And Exponential EquationsChapter 4.7 - Financial ModelsChapter 4.8 - Exponential Growth And Decay Models; Newton’s Law; Logistic Growth And Decay ModelsChapter 4.9 - Building Exponential, Logarithmic, And Logistic Models From DataChapter 5 - Trigonometric FunctionsChapter 5.1 - Angles And Their MeasureChapter 5.2 - Trigonometric Functions: Unit Circle ApproachChapter 5.3 - Properties Of The Trigonometric FunctionsChapter 5.4 - Graphs Of The Sine And Cosine FunctionsChapter 5.5 - Graphs Of The Tangent, Cotangent, Cosecant, And Secant FunctionsChapter 5.6 - Phase Shift; Sinusoidal Curve FittingChapter 6 - Analytic TrigonometryChapter 6.1 - The Inverse Sine, Cosine, And Tangent FunctionsChapter 6.2 - The Inverse Trigonometric Functions (continued)Chapter 6.3 - Trigonometric EquationsChapter 6.4 - Trigonometric IdentitiesChapter 6.5 - Sum And Difference FormulasChapter 6.6 - Double-angle And Half-angle FormulasChapter 6.7 - Product-to-sum And Sum-to-product FormulasChapter 7 - Applications Of Trigonometric FunctionsChapter 7.1 - Right Triangle Trigonometry; ApplicationsChapter 7.2 - The Law Of SinesChapter 7.3 - The Law Of CosinesChapter 7.4 - Area Of A TriangleChapter 7.5 - Simple Harmonic Motion; Damped Motion; Combining WavesChapter 8 - Polar Coordinates; VectorsChapter 8.1 - Polar CoordinatesChapter 8.2 - Polar Equations And GraphsChapter 8.3 - The Complex Plane; De Moivre’s TheoremChapter 8.4 - VectorsChapter 8.5 - The Dot ProductChapter 8.6 - Vectors In SpaceChapter 8.7 - The Cross ProductChapter 9 - Analytic GeometryChapter 9.2 - The ParabolaChapter 9.3 - The EllipseChapter 9.4 - The HyperbolaChapter 9.5 - Rotation Of Axes; General Form Of A ConicChapter 9.6 - Polar Equations Of ConicsChapter 9.7 - Plane Curves And Parametric EquationsChapter 10 - Systems Of Equations And InequalitiesChapter 10.1 - Systems Of Linear Equations: Substitution And EliminationChapter 10.2 - Systems Of Linear Equations: MatricesChapter 10.3 - Systems Of Linear Equations: DeterminantsChapter 10.4 - Matrix AlgebraChapter 10.5 - Partial Fraction DecompositionChapter 10.6 - Systems Of Nonlinear EquationsChapter 10.7 - Systems Of InequalitiesChapter 10.8 - Linear ProgrammingChapter 11 - Sequences; Induction; The Binomial TheoremChapter 11.1 - SequencesChapter 11.2 - Arithmetic SequencesChapter 11.3 - Geometric Sequences; Geometric SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 12 - Counting And ProbabilityChapter 12.1 - CountingChapter 12.2 - Permutations And CombinationsChapter 12.3 - ProbabilityChapter 13 - A Preview Of Calculus: The Limit, Derivative, And Integral Of A FunctionChapter 13.1 - Finding Limits Using Tables And GraphsChapter 13.2 - Algebra Techniques For Finding LimitsChapter 13.3 - One-sided Limits; Continuous FunctionsChapter 13.4 - The Tangent Problem; The DerivativeChapter 13.5 - The Area Problem; The IntegralChapter A.1 - Algebra EssentialsChapter A.2 - Geometry EssentialsChapter A.3 - PolynomialsChapter A.4 - Factoring PolynomialsChapter A.5 - Synthetic DivisionChapter A.6 - Rational ExpressionsChapter A.7 - Nth Roots; Rational ExponentsChapter A.8 - Solving EquationsChapter A.9 - Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsChapter A.10 - Interval Notation; Solving InequalitiesChapter A.11 - Complex NumbersChapter 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
Sample Solutions for this Textbook
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Chapter F, Problem 1CPChapter 1, Problem 1REChapter 2, Problem 1REChapter 3, Problem 1REChapter 4, Problem 1REChapter 5, Problem 1REChapter 6, Problem 1REChapter 7, Problem 1REChapter 8, Problem 1RE
Chapter 9, Problem 1REGiven information: The system, {2x−y=5 5x+2y=8 Explanation: To solve the system equations by using...Chapter 11, Problem 1REGiven: The set {Dave, Joanne, Erica}. Calculation: The set {Dave, Joanne, Erica}. Subsets = ∅, {...Chapter 13, Problem 1REGiven Information: The given rational number {−3,0,2,65,π}. Explanation: Integers are the set of...
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