Precalculus11th EditionMichael Sullivan Publisher: PEARSONISBN: 9780135189405
Precalculus
Solutions for Precalculus
Problem 2AYU:
Is the expression 4 x 3 3.6 x 2 2 a polynomial? If so, what is its degree? (pp. A22-A23)Problem 3AYU:
To graph y= x 2 4 , you would shift the graph of y= x 2 ______ a distance of ______ units. (pp....Problem 4AYU:
True or False The x-intercepts of the graph of a function y=f( x ) are the real solutions of the...Problem 5AYU:
Multiple Choice The cube function f(x)=x3 is . Even b. Odd c. neither The graph of the cube function...Problem 7AYU:
If r is a real zero of even multiplicity of a polynomial function f , then the graph of f _______...Problem 8AYU:
The graphs of power functions of the form f(x)= x n , where n is an even integer, always contain the...Problem 9AYU:
If r is a solution to the equation f(x)=0 , name three additional statements that can be made about...Problem 10AYU:
The points at which a graph changes direction (from increasing to decreasing or decreasing to...Problem 11AYU:
The graph of the function f(x)=3x4x3+5x22x7 resembles the graph of for large values of |x|.Problem 13AYU:
The _______ of a zero is the number of times its corresponding factor occurs. (a) degree(b)...Problem 14AYU:
The graph of y=5 x 6 3 x 4 +2x9 has at most how many turning points? (a) 9 (b) 14(c) 6(d) 5Problem 15AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 16AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 17AYU:
In Problems 1526, determine which functions are polynomial functions. For those that are, state the...Problem 18AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 19AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 20AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 21AYU:
In Problems, determine which functions are polynomial functions. For those that are, state the...Problem 22AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 23AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 24AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 25AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 26AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 27AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 28AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 29AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 30AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 31AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 32AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 33AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 34AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 35AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 36AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 37AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 38AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 39AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 40AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 41AYU:
In Problems 43-50, form a polynomial function whose real zeros and degree are given. Answers will...Problem 42AYU:
In Problems 43-50, form a polynomial function whose real zeros and degree are given. Answers will...Problem 43AYU:
In Problems 4148, find a polynomial function whose real zeros and degree are given. Answers will...Problem 44AYU:
In Problems 43-50, form a polynomial function whose real zeros and degree are given. Answers will...Problem 45AYU:
In Problems 4148, find a polynomial function whose real zeros and degree are given. Answers will...Problem 46AYU:
In Problems 43-50, form a polynomial function whose real zeros and degree are given. Answers will...Problem 47AYU:
In Problems 43-50, form a polynomial function whose real zeros and degree are given. Answers will...Problem 48AYU:
In Problems 43-50, form a polynomial function whose real zeros and degree are given. Answers will...Problem 49AYU:
In Problems, find a polynomial function with the given real zeros whose graph contain the given...Problem 50AYU:
In Problems 51-56, find the polynomial function with the given zeros whose graph passes through the...Problem 51AYU:
In Problems, find a polynomial function with the given real zeros whose graph contain the given...Problem 52AYU:
In Problems 51-56, find the polynomial function with the given zeros whose graph passes through the...Problem 53AYU:
In Problems 115-118, construct a polynomial function f with the given characteristics....Problem 54AYU:
In Problems 115-118, construct a polynomial function f with the given characteristics....Problem 55AYU:
In Problems 51-56, find the polynomial function with the given zeros whose graph passes through the...Problem 56AYU:
In Problems 51-56, find the polynomial function with the given zeros whose graph passes through the...Problem 57AYU:
In Problems 115-118, construct a polynomial function f with the given characteristics. Zeros:5(...Problem 58AYU:
In Problems 115-118, construct a polynomial function f with the given characteristics. Zeros:4(...Problem 59AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 60AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 61AYU:
In Problems 5970, for each polynomial function: List each real zero and its multiplicity. Determine...Problem 62AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 63AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 64AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 65AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 66AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 67AYU:
In Problems 5970, for each polynomial function: List each real zero and its multiplicity. Determine...Problem 68AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 69AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 70AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 71AYU:
In Problems 69-72, identify which of the graphs could be the graph of a polynomial function. For...Problem 72AYU:
In Problems 69-72, identify which of the graphs could be the graph of a polynomial function. For...Problem 73AYU:
In Problems 69-72, identify which of the graphs could be the graph of a polynomial function. For...Problem 74AYU:
In Problems 69-72, identify which of the graphs could be the graph of a polynomial function. For...Problem 75AYU:
In Problems 73-76, construct a polynomial function that might have the given graph. (More than one...Problem 76AYU:
In Problems 73-76, construct a polynomial function that might have the given graph. (More than one...Problem 77AYU:
In Problems 73-76, construct a polynomial function that might have the given graph. (More than one...Problem 78AYU:
In Problems 73-76, construct a polynomial function that might have the given graph. (More than one...Problem 79AYU:
In Problems 77-80, write a polynomial function whose graph is shown (use the smallest degree...Problem 80AYU:
In Problems 77-80, write a polynomial function whose graph is shown (use the smallest degree...Problem 81AYU:
In Problems 77-80, write a polynomial function whose graph is shown (use the smallest degree...Problem 82AYU:
In Problems 77-80, write a polynomial function whose graph is shown (use the smallest degree...Problem 83AYU:
G( x )= (x+3) 2 (x2) a. Identify the x-intercepts of the graph of G . b. What are the x-intercepts...Problem 84AYU:
h( x )=( x+2 ) ( x4 ) 3 a. Identify the x-intercepts of the graph of h . b. What are the...Problem 86AYU:
86. Challenge Problem Determine the power function that resembles the end behaviour of
...Problem 87AYU:
Can the graph of a polynomial function have no y-intercept ? Can it have no x-intercepts ? Explain.Problem 88AYU:
The illustration shows the graph of a polynomial function. a. Is the degree of the polynomial even...Problem 89AYU:
Which of the following statements are true regarding the graph of the cubic polynomial f( x )= x 3...Problem 90AYU:
Which of the following statements are true regarding the graph of the cubic polynomial f( x )= x 3...Problem 91AYU:
Make up two polynomials, not of the same degree, with the following characteristics: crosses the...Problem 92AYU:
Make up a polynomial that has the following characteristics: crosses the x-axis at 1 and 4, touches...Problem 93AYU:
Write a few paragraphs that provide a general strategy for graphing a polynomial function. Be sure...Problem 94AYU:
Design a polynomial function with the following characteristics: degree 6; four distinct real zeros,...Problem 95AYU:
Find the equation of the line that contains the point ( 2,3 ) and is perpendicular to the line...Problem 96AYU:
Find the domain of the function h( x )= x3 x+5 .Problem 97AYU:
Problems are based on material learned earlier in the course. The purpose of these problems is to...Problem 98AYU:
Problems are based on material learned earlier in the course. The purpose of these problems is to...Problem 99AYU:
Problems 95104 are based on material learned earlier in the course. The purpose of these problems is...Problem 100AYU:
Problems are based on material learned earlier in the course. The purpose of these problems is to...Problem 101AYU:
Problems are based on material learned earlier in the course. The purpose of these problems is to...Problem 102AYU:
Problems 95104 are based on material learned earlier in the course. The purpose of these problems is...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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