Calculus
10th Edition
ISBN: 9781285057095
Author: Ron Larson, Bruce H. Edwards
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter P, Problem 46RE
To determine
Whether y is function of x or not.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
How to know if y is a function of x.
Consider the points (-3, 0), (-4, -5), (0, 0), (2, 5) and (3, 5). Map the input and output values in a diagram.Does the diagram represent a function? Explain.
I used a function to model data from 1990 through 2015. The independent variable in my model represented the number of years after 1990, so the function’s domain was {x| x = 0, 1, 2, 3, ......, 25}.Determine whether the statement makes sense or does not make sense, and explain your reasoning.
Chapter P Solutions
Calculus
Ch. P.1 - Matching In Exercises 3-6, match the equation with...Ch. P.1 - Matching In Exercises 3-6, match the equation with...Ch. P.1 - Matching In Exercises 3-6, match the equation with...Ch. P.1 - Matching In Exercises 3-6, match the equation with...Ch. P.1 - Prob. 5ECh. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Prob. 8ECh. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Sketching a Graph by Point Plotting In Exercises...
Ch. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Prob. 12ECh. P.1 - Prob. 13ECh. P.1 - Prob. 14ECh. P.1 - Approximating Solution Points Using Technology In...Ch. P.1 - Approximating Solution Points Using Technology In...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Prob. 20ECh. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Prob. 27ECh. P.1 - Prob. 28ECh. P.1 - Prob. 29ECh. P.1 - Prob. 30ECh. P.1 - Prob. 31ECh. P.1 - Prob. 32ECh. P.1 - Prob. 33ECh. P.1 - Prob. 34ECh. P.1 - Prob. 35ECh. P.1 - Prob. 36ECh. P.1 - Prob. 37ECh. P.1 - Prob. 38ECh. P.1 - Prob. 39ECh. P.1 - Prob. 40ECh. P.1 - Prob. 41ECh. P.1 - Prob. 42ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 44ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 46ECh. P.1 - Prob. 47ECh. P.1 - Prob. 48ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 51ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 53ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 56ECh. P.1 - Finding Points of Intersection In Exercises 57-62....Ch. P.1 - Finding Points of Intersection In Exercises 57-62....Ch. P.1 - Prob. 59ECh. P.1 - Finding Points of Intersection In Exercises 57-62,...Ch. P.1 - Prob. 61ECh. P.1 - Finding Points of Intersection In Exercises 57-62....Ch. P.1 - Finding Points of Intersection Using Technology In...Ch. P.1 - Prob. 64ECh. P.1 - Prob. 65ECh. P.1 - Finding Points of Intersection Using Technology In...Ch. P.1 - Modeling Data The table shows the Gross Domestic...Ch. P.1 - Modeling Data The table shows the numbers of...Ch. P.1 - Break-Even Point Find the sales necessary to break...Ch. P.1 - Copper Wire The resistance y in ohms of 1000 feet...Ch. P.1 - Using Solution Points For what values of k does...Ch. P.1 - Using Solution Points For what values of k does...Ch. P.1 - WRITING ABOUT CONCEPTS Writing Equations In...Ch. P.1 - EXPLORING CONCEPTS Using Intercepts Write an...Ch. P.1 - Prob. 75ECh. P.1 - HOW DO YOU SEE IT? Use the graphs of the two...Ch. P.1 - True or False ? In Exercises 75-78, determine...Ch. P.1 - Prob. 78ECh. P.1 - True or False? In Exercises 75-78, determine...Ch. P.1 - True or False? In Exercises 75-78, determine...Ch. P.2 - Estimating Slope In Exercises 36, estimate the...Ch. P.2 - Prob. 2ECh. P.2 - Prob. 3ECh. P.2 - Prob. 4ECh. P.2 - Prob. 5ECh. P.2 - Prob. 6ECh. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Sketching Lines In Exercises 13 and 14. sketch the...Ch. P.2 - Sketching Lines In Exercises 13 and 14, sketch the...Ch. P.2 - Prob. 13ECh. P.2 - Finding Points on a Line In Exercises 1518, use...Ch. P.2 - Prob. 15ECh. P.2 - Finding Points on a Line In Exercises 1518, use...Ch. P.2 - Finding an Equation of a Line In Exercises 19-24,...Ch. P.2 - Prob. 18ECh. P.2 - Prob. 19ECh. P.2 - Prob. 20ECh. P.2 - Prob. 21ECh. P.2 - Prob. 22ECh. P.2 - Prob. 23ECh. P.2 - Modeling Data The table shows the populations y...Ch. P.2 - Prob. 25ECh. P.2 - Finding the Slope and y-Intercept In Exercises...Ch. P.2 - Prob. 27ECh. P.2 - Prob. 28ECh. P.2 - Prob. 29ECh. P.2 - Prob. 30ECh. P.2 - Sketching a Line in the Plane In Exercises 35-42,...Ch. P.2 - Prob. 32ECh. P.2 - Prob. 33ECh. P.2 - Prob. 34ECh. P.2 - Prob. 35ECh. P.2 - Prob. 36ECh. P.2 - Prob. 37ECh. P.2 - Prob. 38ECh. P.2 - Prob. 39ECh. P.2 - Prob. 40ECh. P.2 - Prob. 41ECh. P.2 - Prob. 42ECh. P.2 - Prob. 43ECh. P.2 - Prob. 44ECh. P.2 - Prob. 45ECh. P.2 - Finding an Equation of a Line In Exercises 3946,...Ch. P.2 - Find an equation of the vertical line with...Ch. P.2 - Prob. 48ECh. P.2 - Writing an Equation in General Form In Exercises...Ch. P.2 - Prob. 50ECh. P.2 - Prob. 51ECh. P.2 - Prob. 52ECh. P.2 - Writing an Equation in General Form In Exercises...Ch. P.2 - Prob. 54ECh. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Prob. 62ECh. P.2 - Prob. 63ECh. P.2 - Prob. 64ECh. P.2 - Prob. 65ECh. P.2 - Prob. 66ECh. P.2 - Prob. 67ECh. P.2 - Prob. 68ECh. P.2 - Prob. 69ECh. P.2 - Prob. 70ECh. P.2 - Prob. 71ECh. P.2 - Prob. 72ECh. P.2 - Analyzing a Line A line is represented by the...Ch. P.2 - Tangent Line Find an equation of the line tangent...Ch. P.2 - Prob. 82ECh. P.2 - Prob. 74ECh. P.2 - Prob. 75ECh. P.2 - Reimbursed Expenses A company reimburses its sales...Ch. P.2 - Prob. 77ECh. P.2 - Straight-Line Depreciation A small business...Ch. P.2 - Apartment Rental A real estate office manages an...Ch. P.2 - Prob. 80ECh. P.2 - Prob. 83ECh. P.2 - Prob. 84ECh. P.2 - Prob. 85ECh. P.2 - Prob. 86ECh. P.2 - Prob. 87ECh. P.2 - Prob. 88ECh. P.2 - Prob. 89ECh. P.2 - Prob. 90ECh. P.2 - Prob. 91ECh. P.2 - Prob. 92ECh. P.2 - Prob. 93ECh. P.2 - Prob. 94ECh. P.2 - True or False? In Exercises 85 and 86, determine...Ch. P.2 - Prob. 96ECh. P.3 - Evaluating a Function In Exercises 110, evaluate...Ch. P.3 - Prob. 2ECh. P.3 - Prob. 3ECh. P.3 - Prob. 4ECh. P.3 - Evaluating a Function In Exercises 1-10, evaluate...Ch. P.3 - Prob. 6ECh. P.3 - Prob. 7ECh. P.3 - Prob. 8ECh. P.3 - Prob. 9ECh. P.3 - Prob. 10ECh. P.3 - Prob. 11ECh. P.3 - Prob. 12ECh. P.3 - Prob. 13ECh. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Prob. 15ECh. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Prob. 18ECh. P.3 - Prob. 19ECh. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Prob. 21ECh. P.3 - Prob. 22ECh. P.3 - Prob. 23ECh. P.3 - Prob. 24ECh. P.3 - Prob. 25ECh. P.3 - Prob. 26ECh. P.3 - Prob. 27ECh. P.3 - Prob. 28ECh. P.3 - Prob. 29ECh. P.3 - Prob. 30ECh. P.3 - Prob. 31ECh. P.3 - Prob. 32ECh. P.3 - Prob. 33ECh. P.3 - Prob. 34ECh. P.3 - Prob. 35ECh. P.3 - Prob. 36ECh. P.3 - Prob. 37ECh. P.3 - Prob. 38ECh. P.3 - Prob. 39ECh. P.3 - Prob. 40ECh. P.3 - Prob. 41ECh. P.3 - Sketching a Graph A student who commutes 27 miles...Ch. P.3 - Prob. 43ECh. P.3 - Using the Vertical Line Test In Exercises 39-42,...Ch. P.3 - Prob. 45ECh. P.3 - Prob. 46ECh. P.3 - Prob. 47ECh. P.3 - Prob. 48ECh. P.3 - Prob. 49ECh. P.3 - Prob. 50ECh. P.3 - Prob. 51ECh. P.3 - Prob. 52ECh. P.3 - Prob. 53ECh. P.3 - Prob. 54ECh. P.3 - Prob. 55ECh. P.3 - Matching In Exercises 51-56, use the graph of...Ch. P.3 - Prob. 57ECh. P.3 - Prob. 58ECh. P.3 - Prob. 59ECh. P.3 - Prob. 60ECh. P.3 - Sketching Transformations Use the graph of f shown...Ch. P.3 - Sketching Transformations Use the graph of f shown...Ch. P.3 - Prob. 63ECh. P.3 - Prob. 64ECh. P.3 - Prob. 65ECh. P.3 - Prob. 66ECh. P.3 - Finding Composite Functions In Exercises 63-66,...Ch. P.3 - Prob. 68ECh. P.3 - Prob. 69ECh. P.3 - Prob. 70ECh. P.3 - Evaluating Composite Functions Use the graphs of f...Ch. P.3 - Ripples A pebble is dropped into a calm pond,...Ch. P.3 - Prob. 73ECh. P.3 - Prob. 74ECh. P.3 - Think About It In Exercises 71 and 72, find the...Ch. P.3 - Prob. 76ECh. P.3 - Ever, and Odd Functions The graphs of f, g, and h...Ch. P.3 - Prob. 78ECh. P.3 - Prob. 79ECh. P.3 - Prob. 80ECh. P.3 - Prob. 81ECh. P.3 - Prob. 82ECh. P.3 - Prob. 83ECh. P.3 - Prob. 84ECh. P.3 - Prob. 85ECh. P.3 - Prob. 86ECh. P.3 - Prob. 87ECh. P.3 - Prob. 88ECh. P.3 - Prob. 89ECh. P.3 - Prob. 90ECh. P.3 - Domain Find the value of c such that the domain of...Ch. P.3 - Domain Find all values of c such that the domain...Ch. P.3 - Graphical Reasoning An electronically controlled...Ch. P.3 - HOW DO YOU SEE IT? Water runs into a vase of...Ch. P.3 - Prob. 96ECh. P.3 - Prob. 95ECh. P.3 - Prob. 97ECh. P.3 - Prob. 98ECh. P.3 - Proof Prove that the function is odd...Ch. P.3 - Proof Prove that the function is even....Ch. P.3 - Prob. 101ECh. P.3 - Prob. 102ECh. P.3 - Length A right triangle is formed in the first...Ch. P.3 - Volume An open box of maximum volume is to be made...Ch. P.3 - Prob. 105ECh. P.3 - Prob. 106ECh. P.3 - Prob. 107ECh. P.3 - Prob. 108ECh. P.3 - Prob. 109ECh. P.3 - Prob. 110ECh. P.3 - Prob. 111ECh. P.3 - Prob. 112ECh. P.4 - Prob. 1ECh. P.4 - Prob. 2ECh. P.4 - Hooke's Law Hookes Law states that the force F...Ch. P.4 - Prob. 4ECh. P.4 - Prob. 5ECh. P.4 - Prob. 6ECh. P.4 - Beam Strength Students in a lab measured the...Ch. P.4 - Car Performance The time t (in seconds) required...Ch. P.4 - Engine Performance A V8 car engine is coupled to a...Ch. P.4 - Boiling Temperature The table shows the...Ch. P.4 - Prob. 11ECh. P.4 - Prob. 12ECh. P.4 - Harmonic Motion The motion of an oscillating...Ch. P.4 - Temperature The table shows the normal daily high...Ch. P.4 - Prob. 15ECh. P.4 - Prob. 16ECh. P.4 - PUTNAM EXAM CHALLENGE For i = 1,2, let Ti be a...Ch. P - Finding Intercepts In Exercises 1-4, find any...Ch. P - Finding Intercepts In Exercises 1-4, find any...Ch. P - Finding Intercepts In Exercises 1-4, find any...Ch. P - Prob. 4RECh. P - Prob. 5RECh. P - Prob. 6RECh. P - Prob. 7RECh. P - Prob. 8RECh. P - Prob. 9RECh. P - Prob. 10RECh. P - Prob. 11RECh. P - Prob. 12RECh. P - Prob. 13RECh. P - Prob. 14RECh. P - Prob. 15RECh. P - Prob. 16RECh. P - Prob. 17RECh. P - Prob. 18RECh. P - Prob. 19RECh. P - Prob. 20RECh. P - Prob. 21RECh. P - Prob. 22RECh. P - Prob. 23RECh. P - Prob. 24RECh. P - Prob. 25RECh. P - Prob. 26RECh. P - Prob. 27RECh. P - Sketching a Line in the Plane In Exercises 27-30,...Ch. P - Prob. 29RECh. P - Prob. 30RECh. P - Finding Equations of Lines Find equations of the...Ch. P - Prob. 32RECh. P - Rate of Change The purchase price of a new machine...Ch. P - Break-Even Analysis A contractor purchases a piece...Ch. P - Prob. 35RECh. P - Prob. 36RECh. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Prob. 38RECh. P - Prob. 39RECh. P - Prob. 40RECh. P - Prob. 41RECh. P - Prob. 42RECh. P - Prob. 43RECh. P - Prob. 44RECh. P - Prob. 45RECh. P - Prob. 46RECh. P - Transformations of Functions Use a graphing...Ch. P - Conjecture (a) Use a graphing utility to graph the...Ch. P - Prob. 49RECh. P - Think About It What is the minimum degree of the...Ch. P - Prob. 51RECh. P - Median Income The data in the table show the...Ch. P - Prob. 53RECh. P - Prob. 1PSCh. P - Finding Tangent Lines There are two tangent lines...Ch. P - Heaviside Function The Heaviside function H(x) is...Ch. P - Sketching Transformations Consider the graph of...Ch. P - Prob. 5PSCh. P - Prob. 6PSCh. P - Prob. 7PSCh. P - Prob. 8PSCh. P - Slope of a Tangent Line One of the fundamental...Ch. P - Slope of a Tangent Line Sketch the graph of the...Ch. P - Prob. 11PSCh. P - Graphing an Equation Explain how you would graph...Ch. P - Sound Intensity A large room contains two speakers...Ch. P - Sound Intensity Suppose the speakers in Exercise...Ch. P - Lemniscate Let d1 and d2 be the distances from the...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Think About It In Exercises 33 and 34, use the graph to determine whether y varies directly as some power of x or inversely as some power of x. Explain.arrow_forwardHeight of a Rectangle In Exercises 83 and 84, write the height h of the rectangle as a function of x.arrow_forwardFill in the blanks. For an equation that represents y as a function of x , the set of all values taken on by the ________variable x is the domain, and the set of all values taken on by the ________ variable y is the range.arrow_forward
- Writing a Linear Function In Exercises 11-14, (a) write the linear function f that has the given function values and (b) sketch the graph of the function. f35=12,f4=9arrow_forwardHow do you find the value of a function?arrow_forwardDetermine whether the equation defines y as a function of x. y? = 4 -x? Does the equation define y as a function of x? Yes Noarrow_forward
- 2. Summarize what you have learned about functions. Can all relationships between variables qualify as functions? How can you represent and describe functions? How are functions useful in the real world?arrow_forwardDetermine whether the statement makes sense or does not make sense, and explain your reasoning : "My body temperature is a function of the time of day."arrow_forwardpu sag GA ind Frou on 1 18. y= 3x2 In Exercises 9-20, is the function a power function? If so, write the function in the form y = kxP and state the valuesarrow_forward
- Does this function in the table represent a linear or non linear function? EXPLAINarrow_forwardIn 2010, an investor put money into a fund. The graph below shows the value v = v(d) of the investment, in dollars, as a function of the date d. v(d) Investment value $305,000 $255,000- $205,000+ $155,000+ $105,000 $55,000- $5,000 2010 2020 2030 2040 2050 2060 d = Date Express the original investment using functional notation. 2010 ) Give the value of the above term. $ (b) Is the graph concave up or concave down? concave up concave down Explain what this means about the growth in value of the account. This means that the investment is increasing (c) In what year will the value of the investment reach $105,000? 2050 (d) What is the average yearly increase from 2050 to 2060? $ per year at an increasing ✓ Explain your reasoning. (e) Which is larger, the average yearly increase from 2050 to 2060 or the average yearly increase from 2010 to 2020? 2010 to 2020 2050 to 2060 The average yearly increase from 2010 to 2020 is $ rate. C. The average yearly increase from 2050 to 2060 is $arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY