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 5AYU:
5. The graph of a quadratic function is called a(n)
.
Problem 8AYU:
True for False The graph of f(x)=2x2+3x4 opens up.Problem 10AYU:
10. True or False If the discriminant b2- 4ac = 0, the graph of
f(x) = ax2 + bx + c, a ≠ 0, will...Problem 11AYU:
11. If b2 - 4ac > 0, which of the following conclusions can be
made about the graph of f(x) = ax2 +...Problem 12AYU:
12. If the graph of f(x) = ax2 + bx + c, a ≠ 0, has a maximum
value at its vertex, which of the...Problem 13AYU:
In Problems 13-20, match each graph to one the following functions.
13. f(x) = x2 – 1
Problem 14AYU:
In Problems 13-20, match each graph to one the following functions.
14. f(x)= -x2 - 1
Problem 16AYU:
In Problems 13-20, match each graph to one the following functions.
16. f(x) = x2 + 2x + 1
Problem 19AYU:
In Problems 13-20, match each graph to one the following functions.
19. f(x) = x2 - 2x
Problem 20AYU:
In Problems 13-20, match each graph to one the following functions.
20. f(x) = x2 + 2x + 2
Problem 21AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...Problem 22AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...Problem 23AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...Problem 24AYU:
In Problems 21-32, graph the function f by starting with the graph of y = x2 and using...Problem 25AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...Problem 26AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...Problem 27AYU:
In Problems 21-32, graph the function f by starting with the graph of y = x2 and using...Problem 28AYU:
In Problems 21-32, graph the function f by starting with the graph of y = x2 and using...Problem 29AYU:
In Problems 21-32, graph the function f by starting with the graph of y = x2 and using...Problem 30AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...Problem 31AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...Problem 32AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...Problem 33AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 34AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 35AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 36AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 37AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 38AYU:
In problems , (a) graph each quadratic function by determining whether its graph opens up or down...Problem 39AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 40AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 41AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 42AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 43AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 44AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 45AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 46AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 47AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 48AYU:
In problems 3348, (a) graph each quadratic function by determining whether its graph opens up or...Problem 55AYU:
In Problems 55 – 62, determine, without graphing, whether the given quadratic function has a maximum...Problem 56AYU:
In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum...Problem 57AYU:
In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum...Problem 58AYU:
In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum...Problem 59AYU:
In Problems 55 62, determine, without graphing, whether the given quadratic function has a maximum...Problem 60AYU:
In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum...Problem 61AYU:
In Problems 55 62, determine, without graphing, whether the given quadratic function has a maximum...Problem 62AYU:
In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum...Problem 63AYU:
In Problems 63-74, (a) graph each function, (b) determine the domain and the function, and (c)...Problem 64AYU:
In Problems 63-74, (a) graph each function, (b) determine the domain and the function, and (c)...Problem 65AYU:
65. In problem (a) graph each quadratic function, (b) determine the domain and the range of the...Problem 66AYU:
66. In problem (a) graph each quadratic, (b) Determine the domain and the range of the function....Problem 68AYU:
68. In problem (a) graph each function, (b) Determine the domain and the range of the function. (c)...Problem 69AYU:
In Problems 63-74, (a) graph each function, (b) determine the domain and the function, and (c)...Problem 70AYU:
70. In problem (a) graph each function, (b) Determine the domain and the range of the function (c)...Problem 71AYU:
71. In problem (a) graph each function (b) determine the domain and the range of the function. (c)...Problem 72AYU:
In Problems 63-74, (a) graph each function, (b) determine the domain and the function, and (c)...Problem 73AYU:
In Problems 63 74, (a) graph each function, (b) determine the domain and the range of the function,...Problem 74AYU:
In Problems 63 74, (a) graph each function, (b) determine the domain and the range of the function,...Problem 75AYU:
75. The graph of the function f(x) = ax2 + bx + c has vertex at (0, 2) and passes through the point...Problem 76AYU:
The graph of the function f(x)=a x 2 +bx+c has vertex at ( 1,4 ) and passes through the point (1,8)...Problem 77AYU:
In Problems 77-82, for the given functions fandg , (a) Graph fandg on the same Cartesian plane. (b)...Problem 78AYU:
In Problems 77-82, for the given functions f and g,
Graph f and g on the same Cartesian plane.
Solve...Problem 79AYU:
In Problems 77-82, for the given functions fandg , (a) Graph fandg on the same Cartesian plane. (b)...Problem 80AYU:
In Problems 77-82, for the given functions f and g,
Graph f and g on the same Cartesian plane.
Solve...Problem 81AYU:
In Problems 77-82, for the given functions fandg , (a) Graph fandg on the same Cartesian plane. (b)...Problem 82AYU:
In Problems 77-82, for the given functions fandg , (a) Graph fandg on the same Cartesian plane. (b)...Problem 83AYU:
Answer Problems 83 and 84 using the following: A quadratic function of the form f(x) = ax2 + bx + c...Problem 84AYU:
Answer Problems 83 and 84 using the following: A quadratic function of the form f(x) = ax2 + bx + c...Problem 85AYU:
85. Suppose that f(x) = x2 + 4x - 21.
What is the vertex of f?
What are the x-intercepts of the...Problem 86AYU:
86. Suppose that f(x) = x2 + 2x - 8.
(a) What is the vertex of f?
(h) What are the x-intercepts of...Problem 87AYU:
Find the point on the line that is closest to the point .
[Hint: Express the distance from the...Problem 89AYU:
89. Maximizing Revenue Suppose that the manufacturer of
a gas clothes dryer has found that, when the...Problem 90AYU:
90. Maximizing Revenue The John Deere company has found that the revenue, in dollars, from sales of...Problem 91AYU:
Minimizing Marginal Cost The marginal cost of a product can be thought of as the cost of producing...Problem 92AYU:
92. Minimizing Marginal Cost (See Problem 91.) The marginal cost C (in dollars) of manufacturing x...Problem 93AYU:
Business The monthly revenue R achieved by selling x wristwatches is figured to be R( x )=75x0.2 x 2...Problem 94AYU:
Business The daily revenue R achieved by selling x boxes of candy is figured to be R( x )=9.5x0.04 x...Problem 95AYU:
Stopping Distance An accepted relationship between stopping distance, d (in feet), and the speed of...Problem 96AYU:
Birthrate for Unmarried Women In the United States, the birthrate B for unmarried women (births per...Problem 97AYU:
97. Let f(x) = ax2 + bx + c, where a, b, and c are odd integers. If x is an integer, show that f(x)...Problem 98AYU:
Make up a quadratic function that opens down and has only one x-intercept . Compare yours with...Problem 99AYU:
99. On one set of coordinate axes, graph the family of parabolas
f(x) = x2 + 2x + c = -3, c = 0, and...Problem 100AYU:
100. On one set of coordinate axes, graph the family of
parabolas f(x) = x2 + bx + 1 for b = -4, b =...Problem 101AYU:
State the circumstances that cause the graph of a quadratic function f( x )=a x 2 +bx+c to have no...Problem 104AYU:
104. What are the possibilities for the number of times the graphs of two different quadratic...Problem 105AYU:
Determine whether x 2 +4 y 2 =16 is symmetric respect to the x-axis , the y-axis , and/or the...Problem 106AYU:
Find the domain of .
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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