Solutions for College Algebra: Concepts Through Functions (3rd Edition)
Problem 2AYU:
If −3 and 5 are the coordinates of two points on the real number line, the distance between these...Problem 3AYU:
If 3 and 4 are the legs of a right triangle, the hypotenuse is __________. (pp. A14–A15)
Problem 4AYU:
Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths 11,...Problem 8AYU:
The coordinate axes divide the xy-plane into four sections called ____________________.
Problem 10AYU:
If three distinct points P, Q, and R all lie on a line, and if d(P, Q) = d(Q, R), then Q is called...Problem 27AYU:
In Problems 19–32, find the distance d(P1, P2) between the points P1 and P2.
31. P1 = (a, b); P2 =...Problem 29AYU:
In Problems 33–38, plot each point and form the triangle ABC. Verify that the triangle is a right...Problem 41AYU:
In Problems 39–48, find the midpoint of the line segment joining the points P1 and P2.
45. P1 =...Problem 45AYU:
Find all points having an x-coordinate of 2 whose distance from the point (−2, −1) is 5.
Problem 46AYU:
Find all points having a y-coordinate of −3 whose distance from the point (1, 2) is 13.
Problem 51AYU:
Geometry Find the midpoint of each diagonal of a square with side of length s. Draw the conclusion...Browse All Chapters of This Textbook
Chapter 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 FunctionsChapter 1.5 - Graphing Techniques: Transformations
Chapter 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 - Analytic GeometryChapter 5.2 - The ParabolaChapter 5.3 - The EllipseChapter 5.4 - The HyperbolaChapter 6 - Systems Of Equations And InequalitiesChapter 6.1 - Systems Of Linear Equations: Substitution And EliminationChapter 6.2 - Systems Of Linear Equations: MatricesChapter 6.3 - Systems Of Linear Equations: DeterminantsChapter 6.4 - Matrix AlgebraChapter 6.5 - Partial Fraction DecompositionChapter 6.6 - Systems Of Nonlinear EquationsChapter 6.7 - Systems Of InequalitiesChapter 6.8 - Linear ProgrammingChapter 7 - Sequences; Induction; The Binomial TheoremChapter 7.1 - SequencesChapter 7.2 - Arithmetic SequencesChapter 7.3 - Geometric Sequences; Geometric SeriesChapter 7.4 - Mathematical InductionChapter 7.5 - The Binomial TheoremChapter 8 - Counting And ProbabilityChapter 8.1 - CountingChapter 8.2 - Permutations And CombinationsChapter 8.3 - ProbabilityChapter 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
Book Details
College Algebra: Concepts Through Functions, Third Edition focuses on the fundamentals: preparation for class, practice with homework, and reviewing of key concepts. With the Concepts Through Functions series, the Sullivans expose students to functions in the first chapter and maintain a continuous theme of functions throughout the text.
Sample Solutions for this Textbook
We offer sample solutions for College Algebra: Concepts Through Functions (3rd Edition) homework problems. See examples below:
Result used: Completing the square x2+bx: “Identify the coefficient of the first-degree term....Definition used: “The set of all inputs for a relation is called domain and set of all outputs of a...Definition used: Linear Function: A linear function is a function of the form f(x)=mx+b. The graph...Definition used: A polynomial function in one variable is a function of the form...Definition used: Given two functions f and g, the composite function, denoted by f∘g (read as “f...Formula used: Equation of a parabola: Vertex at (0,0); Focus on an axis a>0....Given: The system of linear equations is {2x−y=55x+2y=8. Procedure used: “Solving system of linear...The given sequence is {an}={(−1)n(n+3n+2)}. The first five terms of the sequence are calculated as...Given: The set is defined as {Dave, Joanne, Erica}. Definition used: Subset: When a set of elements...
More Editions of This Book
Corresponding editions of this textbook are also available below:
COLLEGE ALGEBRA W/MATHLAB PKG >CUSTOM<
3rd Edition
ISBN: 9781269866361
Guided Lecture Notes For College Algebra: Concepts Through Functions, Plus Mylab Math -- Access Card Package (3rd Edition)
3rd Edition
ISBN: 9780134118673
College Algebra: Concepts Through Functions Plus New Mylab Math With Etext -- Access Card Package (3rd Edition) (sullivan & Sullivan Precalculus Titles)
3rd Edition
ISBN: 9780321925725
College Algebra: Concepts Through Functions, Books A La Carte Edition Plus New Mylab Math -- Access Card Package
3rd Edition
ISBN: 9780321979179
College Algebra : Conc .. (Looseleaf)
3rd Edition
ISBN: 9780321925732
College Algebra: Concepts Through Functions, Books a la Carte Edition plus MyLab Math with Pearson eText -- Access Card Package (4th Edition)
4th Edition
ISBN: 9780134856506
MyLab Math with Pearson eText -- Standalone Access Card -- for College Algebra: Concepts Through Functions (4th Edition)
4th Edition
ISBN: 9780134852317
College Algebra: Concepts Through Functions (4th Edition)
4th Edition
ISBN: 9780134686967
College Algebra: Concepts Through Functions Plus Mylab Math With Etext -- Access Card Package (4th Edition) (what's New In Precalculus)
4th Edition
ISBN: 9780134859071
College Algebra: Concepts Through Functions
4th Edition
ISBN: 9780134775807
College Algebra: Concepts through Functions, Books a la Carte Edition (4th Edition)
4th Edition
ISBN: 9780134689821
COLLEGE ALGEBRA: CONCEPTS THROUGH FUNCT
4th Edition
ISBN: 9780135711743
Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For College Algebra: Concepts Through Functions
4th Edition
ISBN: 9780135903674
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