Precalculus - 11th Edition - by Michael Sullivan - ISBN 9780135189405

Precalculus
11th Edition
Michael Sullivan
Publisher: PEARSON
ISBN: 9780135189405

Solutions for Precalculus

Problem 1AYU:
List the intercepts of the equation y= x 2 9 . (pp. 18-19)
Problem 2AYU
Problem 3AYU:
To complete the square of x 2 5x , you add the number ______. (p. A49)
Problem 4AYU:
To graph y= (x4) 2 you shift the graph of y= x 2 to the _______ a distance of ________ units. (pp....
Problem 5AYU:
Find the discriminant of . Then identify the number of real solutions of the equation.
Problem 6AYU
Problem 7AYU:
The graph of a quadratic function is called a(n) ____________.
Problem 8AYU:
The vertical line passing through the vertex of a parabola is called the ________________.
Problem 9AYU:
The x-coordinate of the vertex of f( x )=a x 2 +bx+c,a0 , is ______.
Problem 10AYU:
True or False The graph of f( x )=2 x 2 +3x4 opens up.
Problem 11AYU:
True or False The y-coordinate of the vertex of f( x )= x 2 +4x+5 is f( 2 ) .
Problem 12AYU:
True or False If the discriminant b 2 4ac=0 , the graph of f( x )=a x 2 +bx+c,a0 , will touch the...
Problem 13AYU:
If b 2 4ac0 , which of the following conclusions can be made about the graph of f(x)=a x 2 +bx+c,a0...
Problem 14AYU:
If the graph of f( x )=a x 2 +bx+c,a0 , has a maximum value at its vertex, which of the following...
Problem 15AYU:
In Problems 13-20, match each graph to one the following functions. f( x )= x 2 1
Problem 16AYU:
In Problems 13-20, match each graph to one the following functions. f(x)= x 2 1
Problem 17AYU:
In Problems 13-20, match each graph to one the following functions. f(x)= x 2 2x+1
Problem 18AYU:
In Problems 13-20, match each graph to one the following functions. f( x )= x 2 +2x+1
Problem 19AYU:
In Problems 13-20, match each graph to one the following functions. f( x )= x 2 2x+2
Problem 20AYU:
In Problems 13-20, match each graph to one the following functions. f( x )= x 2 +2x
Problem 21AYU:
In Problems 13-20, match each graph to one the following functions. f( x )= x 2 2x
Problem 22AYU:
In Problems 13-20, match each graph to one the following functions. f( x )= x 2 +2x+2
Problem 23AYU:
In Problems, find the vertex and axis of symmetry of each quadratic function. Determine whether the...
Problem 24AYU:
In Problems 2330, (a) find the vertex and axis of symmetry of each quadratic function. (b) Determine...
Problem 25AYU:
In Problems 2330, (a) find the vertex and axis of symmetry of each quadratic function. (b) Determine...
Problem 26AYU:
In Problems 2330, (a) find the vertex and axis of symmetry of each quadratic function. (b) Determine...
Problem 27AYU:
In Problems 2330, (a) find the vertex and axis of symmetry of each quadratic function. (b) Determine...
Problem 28AYU:
In Problems, find the vertex and axis of symmetry of each quadratic function. Determine whether the...
Problem 29AYU:
In Problems, find the vertex and axis of symmetry of each quadratic function. Determine whether the...
Problem 30AYU:
In Problems 2330, (a) find the vertex and axis of symmetry of each quadratic function. (b) Determine...
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 21-32, graph the function f by starting with the graph of y= x 2 and using...
Problem 34AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...
Problem 35AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...
Problem 36AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...
Problem 37AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...
Problem 38AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...
Problem 39AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...
Problem 40AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...
Problem 41AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...
Problem 42AYU:
In Problems 21-32, graph the function f by starting with the graph of y= x 2 and using...
Problem 43AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether it graph opens up or...
Problem 44AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether it graph opens up or...
Problem 45AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether it graph opens up or...
Problem 46AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether it graph opens up or...
Problem 47AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether it graph opens up or...
Problem 48AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether it graph opens up or...
Problem 49AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether it graph opens up or...
Problem 50AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether it graph opens up or...
Problem 51AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether Us graph opens up or...
Problem 52AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether Us graph opens up or...
Problem 53AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether Us graph opens up or...
Problem 54AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether Us graph opens up or...
Problem 55AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether Us graph opens up or...
Problem 56AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether Us graph opens up or...
Problem 57AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether Us graph opens up or...
Problem 58AYU:
In Problems 33-48, (a) graph each quadratic function by determining whether Us graph opens up or...
Problem 59AYU:
In Problems 49-54, determine the quadratic function whose graph is given.
Problem 60AYU:
In Problems 49-54, determine the quadratic function whose graph is given.
Problem 61AYU:
In Problems 49-54, determine the quadratic function whose graph is given.
Problem 62AYU:
In Problems 49-54, determine the quadratic function whose graph is given.
Problem 63AYU:
In Problems 49-54, determine the quadratic function whose graph is given.
Problem 64AYU:
In Problems 49-54, determine the quadratic function whose graph is given.
Problem 65AYU:
In Problems 6572, determine, without graphing, whether the given quadratic function has a maximum...
Problem 66AYU:
In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum...
Problem 67AYU:
In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum...
Problem 68AYU:
In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum...
Problem 69AYU:
In Problems, determine, without graphing, whether the given quadratic function has a maximum value...
Problem 70AYU:
In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum...
Problem 71AYU:
In Problems, determine, without graphing, whether the given quadratic function has a maximum value...
Problem 72AYU:
In Problems 55-62, determine, without graphing, whether the given quadratic function has a maximum...
Problem 73AYU:
The graph of the function f( x )=a x 2 +bx+c has vertex at ( 0,2 ) and passes through the point (...
Problem 74AYU:
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 75AYU:
In Problems 77-82, for the given functions fandg , (a) Graph fandg on the same Cartesian plane. (b)...
Problem 76AYU:
In Problems 77-82, for the given functions fandg , (a) Graph fandg on the same Cartesian plane. (b)...
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 fandg , (a) Graph fandg on the same Cartesian plane. (b)...
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 fandg , (a) Graph fandg on the same Cartesian plane. (b)...
Problem 81AYU:
Answer Problems 83 and 84 using the following: A quadratic function of the form f( x )=a x 2 +bx+c...
Problem 82AYU:
Answer Problems 83 and 84 using the following: A quadratic function of the form f( x )=a x 2 +bx+c...
Problem 83AYU:
Suppose that f(x)= x 2 +4x21 . (a) What is the vertex of f ? (b) What are the x-intercepts of the...
Problem 84AYU:
Suppose that f( x )= x 2 +2x8 . (a) What is the vertex of f ? (b) What are the x-intercepts of the...
Problem 85AYU:
Analyzing the Motion of a Projectile A projectile is fired from a cliff feet above the water at an...
Problem 86AYU:
Analyzing the Motion of a Projectile A projectile is fired at an inclination ofto the horizontal,...
Problem 87AYU:
Maximizing Revenue Suppose that the manufacturer of a gas clothes dryer has found that, when the...
Problem 88AYU:
Maximizing Revenue A lawn mower manufacturer has found that the revenue, in dollars, from sales of...
Problem 89AYU:
Minimizing Marginal Cost The marginal cost of a product can be thought of as the cost of producing...
Problem 90AYU:
Minimizing Marginal Cost (See Problem 91.) The marginal cost C (in dollars) of manufacturing x cell...
Problem 91AYU:
Business The monthly revenue R achieved by selling x wristwatches is figured to be R( x )=75x0.2 x 2...
Problem 92AYU:
Business The daily revenue R achieved by selling x boxes of candy is figured to be R( x )=9.5x0.04 x...
Problem 93AYU:
Stopping Distance An accepted relationship between stopping distance d(in feet) and the speed v of a...
Problem 94AYU:
Birth Rate of Unmarried Women In the United States, the birth rateof unmarried women (births...
Problem 95AYU:
Chemical Reactions A self-catalytic chemical reaction results in the formation of a compound that...
Problem 96AYU:
Mixed Practice Find the distance from the vertex of the parabola f(x)=2(x3)2+5 to the center of the...
Problem 97AYU:
Mixed Practice Find the distance from the vertex of the parabola to the center of the circle.
Problem 98AYU
Problem 99AYU
Problem 100AYU
Problem 101AYU
Problem 102AYU
Problem 103AYU:
Make up a quadratic function that opens down and has only one x-intercept . Compare yours with...
Problem 104AYU
Problem 105AYU
Problem 106AYU
Problem 107AYU
Problem 108AYU
Problem 109AYU:
What are the possibilities for the number of times the graphs of two different quadratic functions...
Problem 110AYU
Problem 111AYU
Problem 112AYU
Problem 113AYU
Problem 114AYU
Problem 115AYU:
State the domain and range of the relation given below. Is the relation a function?...
Problem 116AYU
Problem 117AYU
Problem 118AYU
Problem 119AYU

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

Sample Solutions for this Textbook

We offer sample solutions for Precalculus homework problems. See examples below:

Chapter 1, Problem 1REChapter 2, Problem 1REChapter 3, Problem 1REChapter 4, Problem 1REChapter 5, Problem 1REChapter 6, Problem 1REChapter 7, Problem 1REChapter 8, Problem 1REChapter 9, Problem 1RE
Chapter 10, Problem 1REChapter 11, Problem 1REChapter 12, Problem 1REGiven: The set {Dave, Joanne, Erica}. Calculation: The set {Dave, Joanne, Erica}. Subsets = ∅, {...Chapter 14, Problem 1RE

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