Solutions for Precalculus
Problem 1SP:
For the table shown, a. Write the set of ordered pairs that defines the relation. b. Write the...Problem 2SP:
Determine if the relation defines y as a function of x . a.8,4,3,1,5,4b.3,2,9,5,1,0,3,1Problem 5SP:
Evaluate the function defined by hx=4x3 for the given values of x. a.h3b.h1c.h0d.h1e.h3Problem 9SP:
Write the domain of each function in interval notation. a.fx=x23x+1b.gx=x25c.kx=x+3d.px=2x2+3xProblem 10SP:
Use the function f pictured to find:...Problem 1PE:
A set of ordered pairs x,y is called a in xandy . The set of x values in the relation is called the...Problem 2PE:
Given a function defined by y=fx, the statement f2=4 is equivalent to what ordered pair?Problem 4PE:
Given a function defined by y=fx, to find the x-intercepts, substitute 0 for and solve x .Problem 6PE:
Given gx=x5, the domain is restricted so that x.Problem 7PE:
Consider a relation that defines the height y of a tree for a given time t after it is planted. Does...Problem 8PE:
Consider a relation that define a time y during the course of a year when the temperature T in Fort...Problem 9PE:
For Exercises 9-12, a. Write a set of ordered pairs x,y that defines the relation. b. Write the...Problem 10PE:
For Exercises 9-12, a. Write a set of ordered pairs x,y that defines the relation. b. Write the...Problem 11PE:
For Exercises 9-12, a. Write a set of ordered pairs x,y that defines the relation. b. Write the...Problem 12PE:
For Exercises 9-12, a. Write a set of ordered pairs x,y that defines the relation. b. Write the...Problem 13PE:
Answer true or false. All relations are relations.Problem 14PE:
Answer true or false. All relations are functions.Problem 15PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)Problem 16PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)Problem 17PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)Problem 18PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)Problem 20PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)Problem 21PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)Problem 22PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)Problem 23PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)Problem 25PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)Problem 26PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)Problem 28PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)...Problem 31PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)...Problem 32PE:
For Exercises 15-32, determine if the relation defines y as a function of x . (See Example 3-4)...Problem 34PE:
The statement g7=5 corresponds to what ordered pair?Problem 72PE:
Frank needs to drive 250 mi from Daytona Beach to Miami. After having driven x miles, the distance...Problem 73PE:
At a restaurant, if a party has eight or more people, the gratuity is automatically added to the...Problem 74PE:
A bookstore marks up the price of a book by 40 of the cost from the publisher. Therefore, the...Problem 76PE:
For Exercises 75-84, determine the x-andy-intercepts for the given function. (See Example 7) gx=3x12Problem 78PE:
For Exercises 75-84, determine the x-andy-intercepts for the given function. (See Example 7) kx=x+2Problem 79PE:
For Exercises 75-84, determine the x-andy-intercepts for the given function. (See Example 7)...Problem 81PE:
For Exercises 75-84, determine the x-andy-intercepts for the given function. (See Example 7) rx=x8Problem 82PE:
For Exercises 75-84, determine the x-andy-intercepts for the given function. (See Example 7) sx=x+3Problem 84PE:
For Exercises 75-84, determine the x-andy-intercepts for the given function. (See Example 7) gx=x+3Problem 86PE:
The amount spent on video games per person in the United States has been increasing 2006. The...Problem 111PE:
For Exercises 111-114, use the graph of y=fx to answer the following. (See Example 10)...Problem 112PE:
For Exercises 111-114, use the graph of y=fx to answer the following. (See Example 10)...Problem 115PE:
For Exercises 115-122, write a function that represents the given statement. Suppose that a phone...Problem 116PE:
For Exercises 115-122, write a function that represents the given statement. Suppose that a roll of...Problem 119PE:
For Exercises 115-122, write a function that represents the given statement. Two adjacent angles...Problem 120PE:
For Exercises 115-122, write a function that represents the given statement. Two adjacent angles...Problem 122PE:
For Exercises 115-122, write a function that represents the given statement. Write a relationship...Problem 123PE:
If two points align vertically then the points do not define y as a function of x . Explain why.Browse All Chapters of This Textbook
Chapter R - Review Of PrerequisitesChapter R.1 - Sets And The Real Number LineChapter R.2 - Exponents And RadicalsChapter R.3 - Polynomials And FactoringChapter R.4 - Rational Expressions And More Operations On RadicalsChapter R.5 - Equations With Real SolutionsChapter R.6 - Complex Numbers And More Quadratic EquationsChapter R.7 - Applications Of EquationsChapter R.8 - Linear, Compound, And Absolute Value InequalitiesChapter 1 - Functions And Relations
Chapter 1.1 - The Rectangular Coordinate System And Graphing UtilitiesChapter 1.2 - CirclesChapter 1.3 - Functions And RelationsChapter 1.4 - Linear Equations In Two Variables And Linear FunctionsChapter 1.5 - Applications Of Linear Equations And ModelingChapter 1.6 - Transformations Of GraphsChapter 1.7 - Analyzing Graphs Of Functions And Piecewise-defined FunctionsChapter 1.8 - Algebra Of Functions And Function CompositionChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions And ApplicationsChapter 2.2 - Introduction To Polynomial FunctionsChapter 2.3 - Division Of Polynomials And The Remainder And Factor TheoremsChapter 2.4 - Zeros Of PolynomialsChapter 2.5 - Rational FunctionsChapter 2.6 - Polynomial And Rational InequalitiesChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Inverse FunctionsChapter 3.2 - Exponential FunctionsChapter 3.3 - Logarithmic FunctionsChapter 3.4 - Properties Of LogarithmsChapter 3.5 - Exponential And Logarithmic Equations And ApplicationsChapter 3.6 - Modeling With Exponential And Logarithmic FunctionsChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - Trigonometric Functions Defined On The Unit CircleChapter 4.3 - Right Triangle TrigonometryChapter 4.4 - Trigonometric Functions Of Any AngleChapter 4.5 - Graphs Of Sine And Cosine FunctionsChapter 4.6 - Graphs Of Other Trigonometric FunctionsChapter 4.7 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Fundamental Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle, Power-reducing, And Half-angle FormulasChapter 5.4 - Product-to-sum And Sum-to-product FormulasChapter 5.5 - Trigonometric EquationsChapter 6 - Applications Of Trigonometric FunctionsChapter 6.1 - Applications Of Right TrianglesChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - Harmonic MotionChapter 7 - Trigonometry Applied To Polar Coordinate Systems And VectorsChapter 7.1 - Polar CoordinatesChapter 7.2 - Graphs Of Polar EquationsChapter 7.3 - Complex Numbers In Polar FormChapter 7.4 - VectorsChapter 7.5 - Dot ProductChapter 8 - Systems Of Equations And InequalitiesChapter 8.1 - Systems Of Linear Equations In Two Variables And ApplicationsChapter 8.2 - Systems Of Linear Equations In Three Variables And ApplicationsChapter 8.3 - Partial Fraction DecompositionChapter 8.4 - Systems Of Nonlinear Equations In Two VariablesChapter 8.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 8.6 - Linear ProgrammingChapter 9 - Matrices And Determinants And ApplicationsChapter 9.1 - Solving Systems Of Linear Equations Using MatricesChapter 9.2 - Inconsistent Systems And Dependent EquationsChapter 9.3 - Operations On MatricesChapter 9.4 - Inverse Matrices And Matrix EquationsChapter 9.5 - Determinants And Cramer’s RuleChapter 10 - Analytic GeometryChapter 10.1 - The EllipseChapter 10.2 - The HyperbolaChapter 10.3 - The ParabolaChapter 10.4 - Rotation Of AxesChapter 10.5 - Polar Equations Of ConicsChapter 10.6 - Plane Curves And Parametric EquationsChapter 11 - Sequences, Series, Induction, And ProbabilityChapter 11.1 - Sequences And SeriesChapter 11.2 - Arithmetic Sequences And SeriesChapter 11.3 - Geometric Sequences And SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 11.6 - Principles Of CountingChapter 11.7 - Introduction To Probability
Book Details
Julie Miller wrote her developmental math series because students were coming into her Precalculus course underprepared. They weren’t mathematically mature enough to understand the concepts of math nor were they fully engaged with the material. She began her developmental mathematics offerings with intermediate algebra to help bridge that gap. The Precalculus series is a carefully constructed end to that bridge that uses the highly effective pedagogical features from her fastest growing developmental math series. What sets Julie Miller’s series apart is that it addresses course issues through an author-created digital package that maintains a consistent voice and notation throughout the program. This consistency--in videos, PowerPoints, Lecture Notes, and Group Activities--coupled with the power of ALEKS and Connect Hosted by ALEKS, ensures that students master the skills necessary to be successful in Precalculus and can carry them through to the calculus sequence.
Sample Solutions for this Textbook
We offer sample solutions for Precalculus homework problems. See examples below:
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