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 1AYU:
The intercepts of the equation are .
(pp.18-19)
Problem 3AYU:
To graph y= x 2 4 , you would shift the graph of y= x 2 ______ a distance of ______ units. (pp....Problem 5AYU:
True or False The x-intercepts of the graph of a function y=f( x ) are the real solutions of the...Problem 4AYU:
4. Use a graphing utility to approximate the local maximum value and local minimum value of for.
Problem 6AYU:
If g(5)=0, what is on the graph of g? What is the corresponding x-intercept of the graph of g?Problem 7AYU:
7. The graph of every polynomial function is both
and .
Problem 8AYU:
If r is a real zero of even multiplicity of a polynomial function f , then the graph of f _______...Problem 9AYU:
The graphs of power functions of the form f(x)= x n , where n is an even integer, always contain the...Problem 10AYU:
If r is a solution to the equation f(x)=0 name three additional statement that can be made about f...Problem 11AYU:
The points at which a graph changes direction (from increasing to decreasing or decreasing to...Problem 12AYU:
The graph of the function f(x)=3x4x3+5x22x7 resembles the graph of for large values of |x|.Problem 13AYU:
13. If, thenand.
Problem 14AYU:
14. Explain what the notation means.
Problem 15AYU:
15. The of a zero is the number of times its
corresponding factor occurs.
(a) degree (b)...Problem 16AYU:
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 17AYU:
In Problems 17-28, 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:
Write this polynomial in standard form. Then identify the leading term and the constant term....Problem 20AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 21AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 22AYU:
22. In Problems 17-28, determine which functions are polynomial functions. For those that are,...Problem 23AYU:
23. Write this polynomial in standard form. Then identify the leading term and the constant term.
...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 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 28AYU:
In Problems 17-28, determine which functions are polynomial functions. For those that are, state the...Problem 29AYU:
In Problems 29-42, use transformations of the graph of or to graph each function.
29.
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 or to graph each function.
32.
Problem 33AYU:
In Problems 29-42, use transformations of the graph of or to graph each function.
33.
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 or to graph each function.
35.
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 or to graph each function.
40.
...Problem 41AYU:
In Problems 29-42, use transformations of the graph of y= x 4 or y= x 5 to graph each function. f( x...Problem 42AYU:
In Problems 29-42, use transformations of the graph of or to graph each function.
42.
...Problem 43AYU:
In Problems 43-50, form 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:
Form a polynomial function whos real zeroes and degree are given. Zeroes:3,0,4; degree3Problem 46AYU:
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 43-50, form a polynomial function whose real zeros and degree are given. Answers will...Problem 50AYU:
In Problems 43-50, form a polynomial function whose real zeros and degree are given. Answers will...Problem 51AYU:
Find the polynomial function with the given zeros whose graph passes through the given point. Zeros:...Problem 52AYU:
Find the polynomial function with the given zeros whose graph passes through the given point. Zeros:...Problem 53AYU:
Find the polynomial function with the given zeros whose graph passes through the given point. Zeros:...Problem 54AYU:
Find the polynomial function with the given zeros whose graph passes through the given point.
Zeros:...Problem 55AYU:
Find the polynomial function with the given zeros whose graph passes through the given point. Zeros:...Problem 56AYU:
Find the polynomial function with the given zeros whose graph passes through the given point.
Zeros:...Problem 57AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 58AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 59AYU:
59. for this polynomial function:
(a) List real zero and its multiplicity.
(b) Determine whether...Problem 60AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 61AYU:
In Problems 57-68, for each polynomial function:
(a) List each real zero and its multiplicity.
(b)...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:
For the given polynomial function: List each real zero and its multiplicity. Determine whether the...Problem 66AYU:
In Problems 57-68, for each polynomial function:
(a) List each real zero and its multiplicity.
(b)...Problem 67AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 68AYU:
In Problems 57-68, for each polynomial function: (a) List each real zero and its multiplicity. (b)...Problem 69AYU:
In Problems 69-72, identify which of the graphs could be the graph of a polynomial function. For...Problem 70AYU:
In Problems 69-72, identify which of the graphs could be the graph of a polynomial function. For...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 73-76, construct a polynomial function that might have the given graph. (More than one...Problem 74AYU:
In Problems 73-76, construct a polynomial function that might have the given graph. (More than one...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 77-80, write a polynomial function whose graph is shown (use the smallest degree...Problem 78AYU:
In Problems 77-80, write a polynomial function whose graph is shown (use the smallest degree...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 82AYU:
Analyze this polynomial function f(x)=x(x+2)2.Problem 83AYU:
In problem (81 – 104), analyze each polynomial function.
83.
Problem 84AYU:
Analyze this polynomial function f(x)=(x1)(x+3)2.Problem 85AYU:
In problem (81 – 104), analyze each polynomial function.
85.
Problem 86AYU:
Analyze this polynomial function f(x)=12(x+4)(x1)3.Problem 87AYU:
In problem (81 – 104), analyze each polynomial function.
87.
Problem 88AYU:
Analyze this polynomial function f(x)=x(3x)2.Problem 90AYU:
Analyze this polynomial function f(x)=(x1)(x+4)(x3).Problem 92AYU:
92. Analyze this polynomial function.
Problem 93AYU:
Analyze this polynomial function f(x)=(x+1)2(x2)2.Problem 94AYU:
Analyze this polynomial function f(x)=(x4)2(x+2)2.Problem 95AYU:
Analyze the given polynomial function by following steps.
Step 1: Determine the end behavior of the...Problem 96AYU:
Analyze this polynomial function f(x)=x2(x3)(x1).Problem 98AYU:
98. Analyze this polynomial function.
Problem 99AYU:
Analyze the given polynomial function by following steps. Step 1: Determine the end behavior of the...Problem 100AYU:
Analyze this polynomial function f(x)=(x2)2(x+2)(x+4).Problem 101AYU:
101. Analyze this polynomial function.
Problem 102AYU:
102. Analyze this polynomial function.
Problem 103AYU:
Analyze the given polynomial function by following steps. Step 1: Determine the end behavior of the...Problem 104AYU:
Analyze the given polynomial function by following steps. Step 1: Determine the end behavior of the...Problem 105AYU:
105. Analyze this polynomial function f .
Problem 107AYU:
107. Analyze this polynomial function f .
Problem 108AYU:
Analyze this polynomial function f f(x)=x3+2.91x27.668x3.8151.Problem 109AYU:
Analyze this polynomial function f f(x)=x4+2.5x2+0.5625.Problem 110AYU:
110. Analyze this polynomial function f .
Problem 111AYU:
111. Analyze this polynomial function f .
Problem 112AYU:
Analyze this polynomial function f f(x)=1.2x4+0.5x23x+2.Problem 113AYU:
113. Analyze this polynomial function f .
Problem 114AYU:
114. Analyze this polynomial function.
Problem 115AYU:
115. Analyze this polynomial function.
Problem 116AYU:
116. Analyze this polynomial function.
Problem 117AYU:
117. Analyze this polynomial function.
Problem 118AYU:
Analyze this polynomial function f(x)=4x3+10x24x10.Problem 119AYU:
Analyze this polynomial function f(x)=x5x4+x3+x2.Problem 120AYU:
120. Analyze this polynomial function.
Problem 124AYU:
Construct a polynomial function f with given characteristics:...Problem 127AYU:
Hurricanes In 2012, Hurricanes Sandy struck the East Coast of the United States, killing 147 people...Problem 128AYU:
Poverty Rates The following data represent the percentage of families with children in the United...Problem 129AYU:
Temperature The following data represent the temperature T(Fahrenheit) in Kansas City, Missouri, x...Problem 130AYU:
Suppose that you make deposits of 500 at the beginning of every year into an individual retirement...Problem 131AYU:
Tennis Anyone? Assume that the probability of winning a point on serve or return is related as...Problem 132AYU:
If f(x)=x3, graph f(2x).Problem 133AYU:
A Geometric Series In calculus, you will learn that certain functions can be approximated by...Problem 134AYU:
134. Can the graph of a polynomial function have no y-intercept? Can it have no x-intercepts?...Problem 135AYU:
Write a few paragraphs that provide a general strategy for graphing a polynomial function. Be sure...Problem 136AYU:
Make up a polynomial that has the following characteristics: crosses the x-axis at 1 and 4, touches...Problem 137AYU:
Make up two polynomials, not of the same degree, with the following characteristics: crosses the...Problem 138AYU:
Which of the following statements are true regarding the graph of the cubic polynomial f( x )= x 3...Problem 139AYU:
Which of the following statements are true regarding the graph of the cubic polynomial f( x )= x 3...Problem 140AYU:
The illustration shows the graph of a polynomial function. a. Is the degree of the polynomial even...Problem 141AYU:
133. Design a polynomial function with the following characteristics: degree 6; four distinct real...Problem 142AYU:
135. Find the equation of the line that contains the point and is perpendicular to the line .
Problem 143AYU:
136. Find the domain of the function .
Problem 144AYU:
Find the x-intercept of the graph of f(x)=4x2+8x3.Problem 145AYU:
Solve the inequality x2214x.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
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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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