PRECALCULUS17th EditionMiller Publisher: McGraw-Hill Publishing Co.ISBN: 9781259822100
PRECALCULUS
Solutions for PRECALCULUS
Problem 2SP:
Graph the function defined by gx=x+2.Problem 4SP:
Graph the functions. a.fx=x2b.gx=3x2c.hx=13x2Problem 5SP:
The graph of y=fx is shown. Graph. a.y=f2xb.y=f12xProblem 1PE:
Let c represent a positive real number. The graph of y=fx+c is the graph of y=fx shifted...Problem 3PE:
Let c represent a positive real number. The graph of y=fxc is the graph of y=fx shifted...Problem 4PE:
The graph of y=3fx is the graph of y=fx with a (choose one: vertical stretch, vertical shrink,...Problem 6PE:
The graph of y=f13x is the graph of y=fx with a (choose one: vertical stretch, vertical shrink,...Problem 7PE:
The graph of y=13fx is the graph of y=fx with a (choose one: vertical stretch, vertical shrink,...Problem 15PE:
For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) fx=x+1Problem 16PE:
For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) gx=x+2Problem 17PE:
For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) kx=x32Problem 18PE:
For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) hx=1x2Problem 20PE:
For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) mx=x+1Problem 22PE:
For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) tx=x23Problem 23PE:
For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) ax=x+13Problem 24PE:
For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) bx=x2+4Problem 25PE:
For Exercises 15-26, use translations to graph the given functions. (See Examples 1-3) cx=1x3+1Problem 27PE:
For Exercises 27-32, use transformations to graph the functions (See Example 4) mx=4x3Problem 29PE:
For Exercises 27-32, use transformations to graph the functions (See Example 4) rx=12x2Problem 30PE:
For Exercises 27-32, use transformations to graph the functions (See Example 4) tx=13xProblem 33PE:
For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5)...Problem 34PE:
For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5)...Problem 35PE:
For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5)...Problem 36PE:
For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5)...Problem 37PE:
For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5)...Problem 38PE:
For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5)...Problem 39PE:
For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5)...Problem 40PE:
For Exercises 33-40, use the graphs of y=fxandy=gx to graph the given function. (See Example 5)...Problem 47PE:
For Exercises 47-50, use the graph of y=fxandy=gx to graph the given function. (See Example 6) y=fxProblem 48PE:
For Exercises 47-50, use the graph of y=fxandy=gx to graph the given function. (See Example 6) y=gxProblem 49PE:
For Exercises 47-50, use the graph of y=fxandy=gx to graph the given function. (See Example 6) y=fxProblem 50PE:
For Exercises 47-50, use the graph of y=fxandy=gx to graph the given function. (See Example 6) y=gxProblem 51PE:
For Exercises 51-54, use the graphs of y=fxandy=gx to graph the given function. (See Example 6) y=fxProblem 52PE:
For Exercises 51-54, use the graphs of y=fxandy=gx to graph the given function. (See Example 6) y=gxProblem 53PE:
For Exercises 51-54, use the graphs of y=fxandy=gx to graph the given function. (See Example 6) y=fxProblem 54PE:
For Exercises 51-54, use the graphs of y=fxandy=gx to graph the given function. (See Example 6) y=gxProblem 55PE:
For Exercises 55-62, a function g is given. Identify the parent function from Table 1-2 on page 183....Problem 57PE:
For Exercises 55-62, a function g is given. Identify the parent function from Table 1-2 on page 183....Problem 60PE:
For Exercises 55-62, a function g is given. Identify the parent function from Table 1-2 on page 183....Problem 63PE:
For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) vx=x+22+1Problem 64PE:
For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) ux=x122Problem 67PE:
For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) px=12x12Problem 70PE:
For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) sx=x2Problem 72PE:
For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) gx=x4Problem 73PE:
For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) nx=12x3Problem 75PE:
For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) fx=12x32+8Problem 76PE:
For Exercises 63-78, use transformations to graph the functions. (See Examples 7-8) gx=13x+22+3Problem 79PE:
For Exercises 79-86, the graph of y=fx is given. Graph the indicated function. Graphy=fx1+2.Problem 80PE:
For Exercises 79-86, the graph of y=fx is given. Graph the indicated function. Graphy=fx+12.Problem 81PE:
For Exercises 79-86, the graph of y=fx is given. Graph the indicated function. Graphy=2fx23.Problem 82PE:
For Exercises 79-86, the graph of y=fx is given. Graph the indicated function. Graphy=2fx+24.Problem 83PE:
For Exercises 79-86, the graph of y=fx is given. Graph the indicated function. Graphy=3f2x.Problem 85PE:
For Exercises 79-86, the graph of y=fx is given. Graph the indicated function. Graphy=fx2.Problem 87PE:
For Exercises 87-90, write a function based on the given parent function and transformations in the...Problem 88PE:
For Exercises 87-90, write a function based on the given parent function and transformations in the...Problem 89PE:
For Exercises 87-90, write a function based on the given parent function and transformations in the...Problem 90PE:
For Exercises 87-90, write a function based on the given parent function and transformations in the...Problem 91PE:
Explain why the graph of gx=2x can be interpreted as a horizontal shrink of the graph of fx=x or as...Problem 92PE:
Explain why the graph of hx=12x can be interpreted as a horizontal stretch of the graph of fx=x or...Problem 94PE:
Explain why gx=1x+1 can be graphed by shifting the graph of fx=1x one unit to the left reflecting...Problem 95PE:
For Exercises 95-100, use transformations on the basic functions presented in Table 1-2 to write a...Problem 96PE:
For Exercises 95-100, use transformations on the basic functions presented in Table 1-2 to write a...Problem 98PE:
For Exercises 95-100, use transformations on the basic functions presented in Table 1-2 to write a...Problem 99PE:
For Exercises 95-100, use transformations on the basic functions presented in Table 1-2 to write a...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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