Solutions for MAT 171 ACCESS CODE
Problem 2SP:
Use the horizontal line test to determine if the graph defines y as a one-to-one function of x.Problem 6SP:
Write an equation for the inverse function for the one-to-one function defined by fx=x2x+2.Problem 8SP:
Given gx=x+2, find an equation of the inverse.Problem 3PE:
If no horizontal line intersects the graph of a function f in more than one point, then f is a --...Problem 4PE:
Given a one-to one function f, if fa=fb,thenab.Problem 6PE:
If a,b is a point on the graph of a one-to-one function f, then the corresponding ordered pair is a...Problem 7PE:
For Exercises 7-12, a relation in x and y is given. Determine if the relation defined y as a...Problem 8PE:
For Exercises 7-12, a relation in x and y is given. Determine if the relation defined y as a...Problem 9PE:
For Exercises 7-12, a relation in x and y is given. Determine if the relation defined y as a...Problem 10PE:
For Exercises 7-12, a relation in x and y is given. Determine if the relation defined y as a...Problem 11PE:
For Exercises 7-12, a relation in x and y is given. Determine if the relation defined y as a...Problem 12PE:
For Exercises 7-12, a relation in x and y is given. Determine if the relation defined y as a...Problem 13PE:
For Exercises 13-22, determine if the relation defined y as a one-to-one function of x. (See Example...Problem 14PE:
For Exercises 13-22, determine if the relation defined y as a one-to-one function of x. (See Example...Problem 15PE:
For Exercises 13-22, determine if the relation defined y as a one-to-one function of x. (See Example...Problem 16PE:
For Exercises 13-22, determine if the relation defined y as a one-to-one function of x. (See Example...Problem 17PE:
For Exercises 13-22, determine if the relation defined y as a one-to-one function of x. (See Example...Problem 18PE:
For Exercises 13-22, determine if the relation defined y as a one-to-one function of x. (See Example...Problem 19PE:
For Exercises 13-22, determine if the relation defined y as a one-to-one function of x. (See Example...Problem 20PE:
For Exercises 13-22, determine if the relation defined y as a one-to-one function of x. (See Example...Problem 21PE:
For Exercises 13-22, determine if the relation defined y as a one-to-one function of x. (See Example...Problem 22PE:
For Exercises 13-22, determine if the relation defined y as a one-to-one function of x. (See Example...Problem 23PE:
For Exercises 23-30, use the definition of a one-to-one function to determine if the function is...Problem 24PE:
For Exercises 23-30, use the definition of a one-to-one function to determine if the function is...Problem 25PE:
For Exercises 23-30, use the definition of a one-to-one function to determine if the function is...Problem 26PE:
For Exercises 23-30, use the definition of a one-to-one function to determine if the function is...Problem 27PE:
For Exercises 23-30, use the definition of a one-to-one function to determine if the function is...Problem 28PE:
For Exercises 23-30, use the definition of a one-to-one function to determine if the function is...Problem 29PE:
For Exercises 23-30, use the definition of a one-to-one function to determine if the function is...Problem 30PE:
For Exercises 23-30, use the definition of a one-to-one function to determine if the function is...Problem 31PE:
For Exercises 31-36, determine whether the two functions are inverses. (See Example 4)...Problem 32PE:
For Exercises 31-36, determine whether the two functions are inverses. (See Example 4)...Problem 33PE:
For Exercises 31-36, determine whether the two functions are inverses. (See Example 4)...Problem 34PE:
For Exercises 31-36, determine whether the two functions are inverses. (See Example 4)...Problem 35PE:
For Exercises 31-36, determine whether the two functions are inverses. (See Example 4)...Problem 36PE:
For Exercises 31-36, determine whether the two functions are inverses. (See Example 4)...Problem 37PE:
There were 2000 applicants for enrollment to the freshman class at a small college in the year 2010...Problem 38PE:
The monthly sales for January for a whole foods market was $60,000 and has increased linearly by...Problem 39PE:
a. Show that fx=2x3 defines a one-to-one function. b. Write an equation for f1x. c. Graph...Problem 40PE:
a. Show that fx=4x+4 defines a one-to-one function. b. Write an equation for f1x. c. Graph...Problem 41PE:
For Exercises 41-52, a one-to-one function is given. Write an equation for the inverse function....Problem 42PE:
For Exercises 41-52, a one-to-one function is given. Write an equation for the inverse function....Problem 43PE:
For Exercises 41-52, a one-to-one function is given. Write an equation for the inverse function....Problem 44PE:
For Exercises 41-52, a one-to-one function is given. Write an equation for the inverse function....Problem 45PE:
For Exercises 41-52, a one-to-one function is given. Write an equation for the inverse function....Problem 46PE:
For Exercises 41-52, a one-to-one function is given. Write an equation for the inverse function....Problem 47PE:
For Exercises 41-52, a one-to-one function is given. Write an equation for the inverse function....Problem 48PE:
For Exercises 41-52, a one-to-one function is given. Write an equation for the inverse function....Problem 49PE:
For Exercises 41-52, a one-to-one function is given. Write an equation for the inverse function....Problem 50PE:
For Exercises 41-52, a one-to-one function is given. Write an equation for the inverse function....Problem 51PE:
For Exercises 41-52, a one-to-one function is given. Write an equation for the inverse function....Problem 52PE:
For Exercises 41-52, a one-to-one function is given. Write an equation for the inverse function....Problem 53PE:
a. Graph fx=x23;x0. (See Example 7) b. From the graph of f , is f a one-to-one function? c. Write...Problem 54PE:
a. Graph fx=x2+1;x0. b. From the graph of f , is f a one-to-one function? c. Write the domain of f...Problem 55PE:
a. Graph fx=x+1. (See Example 8) b. From the graph of f , is f a one-to-one function? c. Write the...Problem 56PE:
a. Graph fx=x2. b. From the graph of f , is f a one-to-one function? c. Write the domain of f in...Problem 57PE:
Given that the domain of a one-to-one function f is 0, and the range of f is 0,4 , state the domain...Problem 58PE:
Given that the domain of a one-to-one function f is 3,5 and the range of f is 2, , state the domain...Problem 59PE:
Given fx=x+3;x0, write an equation for f1 .Problem 60PE:
Given fx=x3;x0, write an equation for f1 .Problem 61PE:
For Exercises 61-66, fill in the blanks and determine an equation for f1x mentally. If function f...Problem 62PE:
For Exercises 61-66, fill in the blanks and determine an equation for f1x mentally. If function f...Problem 63PE:
For Exercises 61-66, fill in the blanks and determine an equation for f1x mentally. Suppose that...Problem 64PE:
For Exercises 61-66, fill in the blanks and determine an equation for f1x mentally. Suppose that...Problem 65PE:
For Exercises 61-66, fill in the blanks and determine an equation for f1x mentally. Suppose that...Problem 66PE:
For Exercises 61-66, fill in the blanks and determine an equation for f1x mentally. Suppose that...Problem 67PE:
For Exercises 67-70, find the inverse mentally. fx=8x+1Problem 68PE:
For Exercises 67-70, find the inverse mentally. px=2x10Problem 69PE:
For Exercises 67-70, find the inverse mentally. qx=x45+1Problem 70PE:
For Exercises 67-70, find the inverse mentally. mx=4x3+3Problem 75PE:
For Exercises 75-76, the table defines Y1=fx as a one-to-one function of x. Find the values of f1...Problem 76PE:
For Exercises 75-76, the table defines Y1=fx as a one-to-one function of x. Find the values of f1...Problem 77PE:
For Exercises 77-80, determine if the statement is true or false. If a statement is false, explain...Problem 78PE:
For Exercises 77-80, determine if the statement is true or false. If a statement is false, explain...Problem 79PE:
For Exercises 77-80, determine if the statement is true or false. If a statement is false, explain...Problem 80PE:
For Exercises 77-80, determine if the statement is true or false. If a statement is false, explain...Problem 81PE:
Based on data from Hurricane Katrina, the function defined by wx=1.17x+1220 gives the wind speed wx...Problem 82PE:
The function defined by Fx=95x+32 gives the temperature Fx (in degrees Fahrenheit) based on the...Problem 83PE:
Suppose that during normal respiration, the volume of air inhaled per breath (called “tidal...Problem 84PE:
At a cruising altitude of 35,000 ft, a certain airplane travels 555 mph. a. Write a function...Problem 85PE:
The millage rate is the amount of property tax per $1000 of the taxable value of a home. For a...Problem 86PE:
Beginning on January 1, park rangers in Everglades National Park began recording the water level for...Problem 89PE:
Explain why if a horizontal line intersects the graph of a function in more than one point, then the...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
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