Solutions for Precalculus 10th Edition Annotated Instructor's Edition
Problem 1CP:
Use the graph of the function f to find a the domain of f, b the function values f(0) and f(3), and...Problem 2CP:
Use the Vertical Line Test to determine whether the graph represents y as a function of x.Problem 4CP:
Graph the function f(x)=x3+3x21. Then determine the open intervals on which the function is...Problem 6CP:
Find the average rates of change of f(x)=x2+2x a from x1=3 to x2=2 and b from x1=2 to x2=0Problem 7CP:
In Example 7, find the average speed of the car a from t1=0 to t2=1 second and b from t1=1 second to...Problem 8CP:
Determine whether each function is even, odd, or neither. Then describe the symmetry. a. f(x)=53x b....Problem 2E:
Vocabulary: Fill in the blanks. The ______ of a function y=f(x) are the values of x for which f(x)=0Problem 3E:
Vocabulary: Fill in the blanks. A function f is ______ on an interval when, for any x1 and x2 in the...Problem 4E:
Vocabulary: Fill in the blanks. A function value f(a) is a relative ________ of f when there exists...Problem 5E:
Vocabulary: Fill in the blanks. The _______ _______ ______ _______ between any two points (x1,f(x1))...Problem 6E:
Vocabulary: Fill in the blanks. A function f is ______ when, for each x in the domain of f,...Problem 7E:
Domain, Range, and Values of a Function In Exercises 7 10, use the graph of the function to find...Problem 8E:
Domain, Range, and Values of a Function In Exercises 7 10, use the graph of the function to find...Problem 9E:
Domain, Range, and Values of a Function In Exercises 7 10, use the graph of the function to find...Problem 10E:
Domain, Range, and Values of a Function In Exercises 7 10, use the graph of the function to find...Problem 11E:
Vertical Line Test for Functions In Exercises 11 14, use the Vertical Line Test to determine...Problem 12E:
Vertical Line Test for Functions In Exercises 11 14, use the Vertical Line Test to determine...Problem 13E:
Vertical Line Test for Functions In Exercises 11 14, use the Vertical Line Test to determine...Problem 14E:
Vertical Line Test for Functions In Exercises 11 14, use the Vertical Line Test to determine...Problem 15E:
Finding the Zeros of a Function In Exercises 15-26, find the zeros of the function algebraically....Problem 16E:
Finding the Zeros of a Function In Exercises 15-26, find the zeros of the function algebraically....Problem 17E:
Finding the Zeros of a Function In Exercises 15-26, find the zeros of the function algebraically....Problem 18E:
Finding the Zeros of a Function In Exercises 15-26, find the zeros of the function algebraically....Problem 19E:
Finding the Zeros of a Function In Exercises 15-26, find the zeros of the function algebraically....Problem 20E:
Finding the Zeros of a Function In Exercises 15-26, find the zeros of the function algebraically....Problem 21E:
Finding the Zeros of a Function In Exercises 15-26, find the zeros of the function algebraically....Problem 22E:
Finding the Zeros of a Function In Exercises 15-26, find the zeros of the function algebraically....Problem 23E:
Finding the Zeros of a Function In Exercises 15-26, find the zeros of the function algebraically....Problem 24E:
Finding the Zeros of a Function In Exercises 15-26, find the zeros of the function algebraically....Problem 25E:
Finding the Zeros of a Function In Exercises 15-26, find the zeros of the function algebraically....Problem 26E:
Finding the Zeros of a Function In Exercises 15-26, find the zeros of the function algebraically....Problem 27E:
Graphing and Finding Zeros In Exercises 27-32, a use a graphing utility to graph the function and...Problem 28E:
Graphing and Finding Zeros In Exercises 27-32, a use a graphing utility to graph the function and...Problem 29E:
Graphing and Finding Zeros In Exercises 27-32, a use a graphing utility to graph the function and...Problem 30E:
Graphing and Finding Zeros In Exercises 27-32, a use a graphing utility to graph the function and...Problem 31E:
Graphing and Finding Zeros In Exercises 27-32, a use a graphing utility to graph the function and...Problem 32E:
Graphing and Finding Zeros In Exercises 27-32, a use a graphing utility to graph the function and...Problem 33E:
Describing Function Behavior In Exercises 33 40, determine the open intervals on which the function...Problem 34E:
Describing Function Behavior In Exercises 33 40, determine the open intervals on which the function...Problem 35E:
Describing Function Behavior In Exercises 33 40, determine the open intervals on which the function...Problem 36E:
Describing Function Behavior In Exercises 33 40, determine the open intervals on which the function...Problem 37E:
Describing Function Behavior In Exercises 33 40, determine the open intervals on which the function...Problem 38E:
Describing Function Behavior In Exercises 33 40, determine the open intervals on which the function...Problem 39E:
Describing Function Behavior In Exercises 33 40, determine the open intervals on which the function...Problem 40E:
Describing Function Behavior In Exercises 33 40, determine the open intervals on which the function...Problem 41E:
Describing Function Behavior In Exercises 41 48, use a graphing utility to graph the function and...Problem 42E:
Describing Function Behavior In Exercises 41 48, use a graphing utility to graph the function and...Problem 43E:
Describing Function Behavior In Exercises 41 48, use a graphing utility to graph the function and...Problem 44E:
Describing Function Behavior In Exercises 41 48, use a graphing utility to graph the function and...Problem 45E:
Describing Function Behavior In Exercises 41 48, use a graphing utility to graph the function and...Problem 46E:
Describing Function Behavior In Exercises 41 48, use a graphing utility to graph the function and...Problem 47E:
Describing Function Behavior In Exercises 41 48, use a graphing utility to graph the function and...Problem 48E:
Describing Function Behavior In Exercises 41 48, use a graphing utility to graph the function and...Problem 49E:
Approximating Relative Minima or Maxima In Exercises 49 54, use a graphing utility to approximate...Problem 50E:
Approximating Relative Minima or Maxima In Exercises 49 54, use a graphing utility to approximate...Problem 51E:
Approximating Relative Minima or Maxima In Exercises 49 54, use a graphing utility to approximate...Problem 52E:
Approximating Relative Minima or Maxima In Exercises 49 54, use a graphing utility to approximate...Problem 53E:
Approximating Relative Minima or Maxima In Exercises 49 54, use a graphing utility to approximate...Problem 54E:
Approximating Relative Minima or Maxima In Exercises 49 54, use a graphing utility to approximate...Problem 55E:
Graphical reasoning In Exercises 55 60, graph the function and determine the intervals for which...Problem 56E:
Graphical reasoning In Exercises 55 60, graph the function and determine the intervals for which...Problem 57E:
Graphical reasoning In Exercises 55 60, graph the function and determine the intervals for which...Problem 58E:
Graphical reasoning In Exercises 55 60, graph the function and determine the intervals for which...Problem 59E:
Graphical reasoning In Exercises 55 60, graph the function and determine the intervals for which...Problem 60E:
Graphical reasoning In Exercises 55 60, graph the function and determine the intervals for which...Problem 61E:
Average Rate of Change of a Function In Exercises 61 64, find the average rate of change of the...Problem 62E:
Average Rate of Change of a Function In Exercises 61 64, find the average rate of change of the...Problem 63E:
Average Rate of Change of a Function In Exercises 61 64, find the average rate of change of the...Problem 64E:
Average Rate of Change of a Function In Exercises 61 64, find the average rate of change of the...Problem 65E:
Research and Development The amounts in billions of dollars the U.S. federal government spent on...Problem 66E:
Finding Average Speed Use the information in the Example 7 to find the average speed of the car from...Problem 67E:
Physics In Exercises 67 70, a use the position equation s=16t2+v0t+s0 to write a function that...Problem 68E:
Physics In Exercises 67 70, a use the position equation s=16t2+v0t+s0 to write a function that...Problem 69E:
Physics In Exercises 67 70, a use the position equation s=16t2+v0t+s0 to write a function that...Problem 70E:
Physics In Exercises 67 70, a use the position equation s=16t2+v0t+s0 to write a function that...Problem 75E:
Even, Odd, or Neither? In Exercises 71 76, determine whether the function is even, odd, or neither....Problem 76E:
Even, Odd, or Neither? In Exercises 71 76, determine whether the function is even, odd, or neither....Problem 77E:
Even, Odd, or Neither? In Exercises 77 82, sketch a graph of the function and determine whether the...Problem 78E:
Even, Odd, or Neither? In Exercises 77 82, sketch a graph of the function and determine whether the...Problem 79E:
Even, Odd, or Neither? In Exercises 77 82, sketch a graph of the function and determine whether the...Problem 80E:
Even, Odd, or Neither? In Exercises 77 82, sketch a graph of the function and determine whether the...Problem 81E:
Even, Odd, or Neither? In Exercises 77 82, sketch a graph of the function and determine whether the...Problem 82E:
Even, Odd, or Neither? In Exercises 77 82, sketch a graph of the function and determine whether the...Problem 83E:
Height of a Rectangle In Exercises 83 and 84, write the height h of the rectangle as a function of...Problem 84E:
Height of a Rectangle In Exercises 83 and 84, write the height h of the rectangle as a function of...Problem 85E:
Length of a Rectangle In Exercises 85 and 86, write the length L of the rectangle as a function of...Problem 86E:
Length of a Rectangle In Exercises 85 and 86, write the length L of the rectangle as a function of...Problem 87E:
Error Analysis Describe the error. The function f(x)=2x35 is odd because f(x)=f(x), as follows....Problem 88E:
Geometry Corners of equal size are cut from a square with sides of length 8 meters see figure. a...Problem 89E:
Coordinate Axis Scale Each function described below models the specified data for the years 2006...Problem 90E:
Temperature The table shows the temperatures y in degrees Fahrenheit in a city over a 24-hour...Problem 91E:
True or False? In Exercises 91-93, determine whether the statement is true or false. Justify your...Problem 92E:
True or False? In Exercises 91-93, determine whether the statement is true or false. Justify your...Problem 93E:
True or False? In Exercises 91-93, determine whether the statement is true or false. Justify your...Problem 94E:
HOW DO YOU SEE IT? Use the graph of the function to answer parts a-e. a Find the domain and range of...Problem 95E:
Think About It In Exercises 95 and 96, find the coordinates of a second point on the graph of a...Problem 96E:
Think About It In Exercises 95 and 96, find the coordinates of a second point on the graph of a...Problem 97E:
Writing Use a graphing utility to graph each function. Write a paragraph describing any similarties...Browse All Chapters of This Textbook
Chapter 1.1 - Rectangular CoordinatesChapter 1.2 - Graphs Of EquationsChapter 1.3 - Linear Equations In Two VariablesChapter 1.4 - FunctionsChapter 1.5 - Analyzing Graphs Of FunctionsChapter 1.6 - A Library Of Parent FunctionsChapter 1.7 - Transformations Of FunctionsChapter 1.8 - Combinations Of Functions: Composite FunctionsChapter 1.9 - Inverse FunctionsChapter 1.10 - Mathematical Modeling And Variation
Chapter 1.CR - Review ExercisesChapter 1.CT - Chapter TestChapter 1.PS - Problem SolvingChapter 2.1 - Quadratic Functions And ModelsChapter 2.2 - Polynomial Functions Of Higher DegreeChapter 2.3 - Polynomial And Synthetic DivisionChapter 2.4 - Complex NumbersChapter 2.5 - Zeros Of Polynomial FunctionsChapter 2.6 - Rational FunctionsChapter 2.7 - Nonlinear InequalitiesChapter 2.CR - Review ExercisesChapter 2.CT - Chapter TestChapter 2.PS - Problem SolvingChapter 3.1 - Exponential Functions And Their GraphsChapter 3.2 - Logarithmic Functions And Their GraphsChapter 3.3 - Properties Of LogarithmsChapter 3.4 - Exponential And Logarithmic EquationsChapter 3.5 - Exponential And Logarithmic ModelsChapter 3.CR - Review ExercisesChapter 3.CT - Chapter TestChapter 3.CM - Cumulative Test For ChaptersChapter 3.PS - Problem SolvingChapter 4.1 - Radian And Degree MeasureChapter 4.2 - Trigonometric Functions: 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 4.8 - Applications And ModelsChapter 4.CR - Review ExercisesChapter 4.CT - Chapter TestChapter 4.PS - Problem SolvingChapter 5.1 - Using Fundamental IdentitiesChapter 5.2 - Verifying Trigonometric IdentitiesChapter 5.3 - Solving Trigonometric EquationsChapter 5.4 - Sum And Difference FormulasChapter 5.5 - Multiple-angle And Product-to-sum FormulasChapter 5.CR - Review ExercisesChapter 5.CT - Chapter TestChapter 5.PS - Problem SolvingChapter 6.1 - Law Of SinesChapter 6.2 - Law Of CosinesChapter 6.3 - Vectors In The PlaneChapter 6.4 - Vectors And Dot ProductsChapter 6.5 - The Complex PlaneChapter 6.6 - Trigonometric Form Of A Complex NumberChapter 6.CR - Review ExercisesChapter 6.CT - Chapter TestChapter 6.CM - Cumulative Test For ChaptersChapter 6.PS - Problem SolvingChapter 7.1 - Linear And Nonlinear Systems Of EquationsChapter 7.2 - Two-variable Linear SystemsChapter 7.3 - Multivariable Linear SystemsChapter 7.4 - Partial FractionsChapter 7.5 - Systems Of InequalitiesChapter 7.6 - Linear ProgrammingChapter 7.CR - Review ExercisesChapter 7.CT - Chapter TestChapter 7.PS - Problem SolvingChapter 8.1 - Matrices And Systems Of EquationsChapter 8.2 - Operations With MatricesChapter 8.3 - The Inverse Of A Square MatrixChapter 8.4 - The Determinant Of A Square MatrixChapter 8.5 - Applications Of Matrices And DeterminantsChapter 8.CR - Review ExercisesChapter 8.CT - Chapter TestChapter 8.PS - Problem SolvingChapter 9.1 - Sequences And SeriesChapter 9.2 - Arithmetic Sequences And Partial SumsChapter 9.3 - Geometric Sequences And SeriesChapter 9.4 - Mathematical InductionChapter 9.5 - The Binomial TheoremChapter 9.6 - Counting PrinciplesChapter 9.7 - ProbabilityChapter 9.CR - Review ExercisesChapter 9.CT - Chapter TestChapter 9.CM - Cumulative Test For ChaptersChapter 9.PS - Problem SolvingChapter 10.1 - LinesChapter 10.2 - Introduction To Conics: ParabolasChapter 10.3 - EllipsesChapter 10.4 - HyperbolasChapter 10.5 - Rotation Of ConicsChapter 10.6 - Parametric EquationsChapter 10.7 - Polar CoordinatesChapter 10.8 - Graphs Of Polar EquationsChapter 10.9 - Polar Equations Of ConicsChapter 10.CR - Review ExercisesChapter 10.CT - Chapter TestChapter 10.PS - Problem SolvingChapter A.1 - Real Numbers And Their PropertiesChapter A.2 - Exponents And RadicalsChapter A.3 - Polynomials And FactoringChapter A.4 - Rational ExpressionsChapter A.5 - Solving EquationsChapter A.6 - Linear Inequalities In One VariableChapter A.7 - Errors And The Algebra Of Calculus
Sample Solutions for this Textbook
We offer sample solutions for Precalculus 10th Edition Annotated Instructor's Edition homework problems. See examples below:
Definition: Graph of linear function: A function f of the form f(x)=mx+b is called a linear...Definition: The Remainder Theorem: If a polynomial f(x) is divided by x−k, then the remainder is...Calculation: Given: The exponential function y=ax Now we have to graph the given exponential...Chapter 4.PS, Problem 1PSFormula: Reciprocal identities: sinu=1cscu,cosu=1secu,tanu=1cotucscu=1sinu,secu=1cosu,cotu=1tanu,...Chapter 6.PS, Problem 1PSGiven: If a triangle is inscribed in a circle such that one side of the triangle is a diameter of...Given: Matrix A is, A=[0−110] Matrix T is, T=[123142] Approach: If A=[aij] is an m×n matrix and...Chapter 9.PS, Problem 1PS
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