Solutions for Precalculus: A Unit Circle Approach (3rd Edition)
Problem 5E:
True or False. Every relation is a function.
Problem 6E:
True or False If no horizontal line intersects the graph of a relation at more than one point, then...Problem 9E:
In Exercises 9–14. determine the domain and rang, of each relation Explain whether each relation is...Problem 10E:
In Exercises 9—14. determine the domain and rang, of each relation Explain whether each relation is...Problem 11E:
In Exercises 9—14. determine the domain and rang, of each relation Explain whether each relation is...Problem 12E:
In Exercises 9—14. determine the domain and rang, of each relation Explain whether each relation is...Problem 13E:
In Exercises 9—14. determine the domain and rang, of each relation Explain whether each relation is...Problem 14E:
In Exercises 9—14. determine the domain and rang, of each relation Explain whether each relation is...Problem 32E:
In Exercises 29—32, let
, , and .
Find
and
Problem 53E:
In Exercises 53—58, use the vertical-line test to determine whether the given graph represents a...Problem 55E:
In Exercises 53—58, use the vertical-line test to determine whether the given graph represents a...Problem 56E:
In Exercises 53—58, use the vertical-line test to determine whether the given graph represents a...Problem 57E:
In Exercises 53—58, use the vertical-line test to determine whether the given graph represents a...Problem 58E:
In Exercises 53—58, use the vertical-line test to determine whether the given graph represents a...Problem 66E:
Let
a. Is (–2, 10) a point of the graph of f?
b. Find x such that (x, 12) is on the graph of g.
c....Problem 105E:
Square tiles. The area A(x) of a square tile is a function of the length x of the square’s side...Problem 113E:
Numbers. The sum of two numbers x and y is 28. Write the product P of these numbers as a function of...Problem 116E:
Inscribed Rectangle. In the figure, a rectangle is inscribed in a semicircle of diameter...Problem 118E:
Area of metal. An open cylindrical tank with circular base of radius r is to be constructed of metal...Problem 120E:
Distance between cars. Two cars are traveling along two roads that cross each other at right angles...Problem 121E:
Distance. Write the distance d from the point (2, 1) to the point (x, y) on the graph of as a...Problem 127E:
In Exercises 123—128, find an expression for f(x) by solving for y and replacing y with f(x). Then...Problem 128E:
In Exercises 123—128, find an expression for f(x) by solving for y and replacing y with f(x). Then...Problem 129E:
In Exercises 129—134, state whether f and g represent the same function Explain your reasons.
Problem 134E:
In Exercises 129—134, state whether f and g represent the same function Explain your reasons.
, ,...Problem 135E:
Let
find a.
Problem 136E:
Let
find b.
Problem 137E:
Let
If and h(3) is undefined, find a and b.
Problem 151E:
In Exercise 151–154, find (a) f(-x) and (b) – f(x)
Problem 152E:
In Exercise 151–154, find (a) f(–x) and (b) –f(x)
Browse All Chapters of This Textbook
Chapter 1 - Graphs And FunctionsChapter 1.1 - Graphs Of EquationsChapter 1.2 - LinesChapter 1.3 - FunctionsChapter 1.4 - A Library Of FunctionsChapter 1.5 - Transformations Of FunctionsChapter 1.6 - Combining Functions; Composite FunctionsChapter 1.7 - Inverse FunctionsChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions
Chapter 2.2 - Polynomial FunctionsChapter 2.3 - Dividing Polynomials And The Rational Zeros TestChapter 2.4 - Rational FunctionsChapter 2.5 - Polynomial And Rational InequalitiesChapter 2.6 - Zeros Of A Polynomial FunctionChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Exponential FunctionsChapter 3.2 - Logarithmic FunctionsChapter 3.3 - Rules Of LogarithmsChapter 3.4 - Exponential And Logarithmic Equations And InequalitiesChapter 3.5 - Logarithmic Scales; ModelingChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - The Unit Circle; Trigonometric Functions Of Real NumbersChapter 4.3 - Trigonometric Functions Of AnglesChapter 4.4 - Graphs Of The Sine And Cosine FunctionsChapter 4.5 - Graphs Of The Other Trigonometric FunctionsChapter 4.6 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle 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 - Right-triangle TrigonometryChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - VectorsChapter 6.5 - The Dot ProductChapter 6.6 - Polar CoordinatesChapter 6.7 - Polar Form Of Complex Numbers; Demoivre’s TheoremChapter 7 - Systems Of Equations And InequalitiesChapter 7.1 - Systems Of Equations In Two VariablesChapter 7.2 - Systems Of Linear Equations In Three VariablesChapter 7.3 - Systems Of InequalitiesChapter 7.4 - Matrices And Systems Of EquationsChapter 7.5 - Determinants And Cramer’s RuleChapter 7.6 - Partial-fraction DecompositionChapter 7.7 - Matrix AlgebraChapter 7.8 - The Matrix InverseChapter 8 - Analytic GeometryChapter 8.2 - The ParabolaChapter 8.3 - The EllipseChapter 8.4 - The HyperbolaChapter 8.5 - Rotation Of AxesChapter 8.6 - Polar Equations Of ConicsChapter 8.7 - Parametric EquationsChapter 9 - Further Topics In AlgebraChapter 9.1 - Sequences And SeriesChapter 9.2 - Arithmetic Sequences; Partial SumsChapter 9.3 - Geometric Sequences And SeriesChapter 9.4 - Mathematical InductionChapter 9.5 - The Binomial TheoremChapter 9.6 - Counting PrinciplesChapter 9.7 - ProbabilityChapter 10 - An Introduction To CalculusChapter 10.1 - Finding Limits Using Tables And GraphsChapter 10.2 - Finding Limits AlgebraicallyChapter 10.3 - Infinite Limits And Limits At InfinityChapter 10.4 - Introduction To DerivativesChapter 10.5 - Area And The IntegralChapter A.1 - The Real Numbers; Integer ExponentsChapter A.2 - PolynomialsChapter A.3 - Rational ExpressionsChapter A.4 - Radicals And Rational ExponentsChapter A.5 - Topics In GeometryChapter A.6 - EquationsChapter A.7 - InequalitiesChapter A.8 - Complex Numbers
Book Details
For courses in Precalculus. Providing the rigor of solid mathematics with an engaging and friendly approach. As teachers, Ratti and McWaters saw firsthand where their Precalculus and Calculus students struggled, where they needed help making connections, and what material they needed to be successful in calculus. They decided to partner and write this text with the primary goal of preparing students to be successful in calculus and future STEM courses. Their experience in the classroom shows in each chapter. The focus on conceptual development, real-life applications, and extensive exercises, encourages a deeper understanding of the mathematics. Precalculus: A Unit Circle Approach, 3rd Edition, includes thorough coverage of topics as preparation for calculus, including; trig identities, difference quotient, functional composition, decomposition and emphasizes graphing techniques/transformations.
Sample Solutions for this Textbook
We offer sample solutions for Precalculus: A Unit Circle Approach (3rd Edition) homework problems. See examples below:
Chapter 1, Problem 1REChapter 2, Problem 1REChapter 3, Problem 1REChapter 4, Problem 1REChapter 5, Problem 1REChapter 6, Problem 1REGiven information: The provided system of equation is shown below: {3x−y=−5x+2y=3}(1)(2) Formula...Given: y2=−6x Concept and Formula used: There are two standard forms of parabola given by...Given information: The sequence an=2n−3 Concept used: To evaluate the terms of a sequence, we...
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