Calculus

Precalculus: Graphical, Numerical, Algebraic | 8th Edition | ISBN: 9780321656933 | Authors: Franklin Demana, Bert K. Waits, Gregory D. Foley, Daniel Kennedy, Dave Bock
New Search

Precalculus: Graphical, Numerical, Algebraic 8th Edition solutions

Get Unlimited Answers

Author: Franklin Demana, Bert K. Waits, Gregory D. Foley, Daniel Kennedy, Dave Bock
Publisher: Pearson
ISBN: 9780321656933
Buy the book

Select Chapter:

We have answers for this textbook’s questions
Check out the solutions to this books Chapter Problems

Chapter 4 Problems

Chapter: 4 Problem: 4.1.1.446

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 16, state the domain and range of the function. f(x) = 3 sin 2x

Chapter: 4 Problem: 4.1.1.447

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 16, state the domain and range of the function. f(x) = -2 cos 3x

Chapter: 4 Problem: 4.1.1.448

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 16, state the domain and range of the function. \(f(x)=\sqrt{x-1}\)

Chapter: 4 Problem: 4.1.1.449

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 16, state the domain and range of the function. \(f(x)=\sqrt{x}\)

Chapter: 4 Problem: 4.1.1.450

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 16, state the domain and range of the function. f(x) = |x| - 2

Chapter: 4 Problem: 4.1.1.451

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 16, state the domain and range of the function. f(x) = |x + 2| + 1

Chapter: 4 Problem: 4.1.1.452

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7 and 8, describe the end behavior of the function, that is, the behavior as \(|x| \rightarrow \infty\). \(f(x)=5 e^{-2 x}\)

Chapter: 4 Problem: 4.1.1.453

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7 and 8, describe the end behavior of the function, that is, the behavior as \(|x| \rightarrow \infty\). \(f(x)=-0.2\left(5^{-0.1 x}\right)\)

Chapter: 4 Problem: 4.1.1.454

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 9 and 10, form the compositions \(f\ \circ\ g\) and \(g\ \circ\ f\). State the domain of each function. \(f(x)=x^{2}-4\) and \(g(x)=\sqrt{x}\)

Chapter: 4 Problem: 4.1.1.455

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 9 and 10, form the compositions \(f\ \circ\ g\) and \(g\ \circ\ f\). State the domain of each function. \(f(x)=x^{2}\) and \(g(x)=\cos x\)

Chapter: 4 Problem: 4.1.1.456

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, graph the function for \(-2 \pi \leq x \leq 2 \pi\), adjusting the vertical window as needed. State whether or not the function appears to be periodic. \(f(x)=(\sin x)^{2}\)

Chapter: 4 Problem: 4.1.1.457

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, graph the function for \(-2 \pi \leq x \leq 2 \pi\), adjusting the vertical window as needed. State whether or not the function appears to be periodic. \(f(x)=(1.5 \cos x)^{2}\)

Chapter: 4 Problem: 4.1.1.458

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, graph the function for \(-2 \pi \leq x \leq 2 \pi\), adjusting the vertical window as needed. State whether or not the function appears to be periodic. \(f(x)=x^{2}+2 \sin x\)

Chapter: 4 Problem: 4.1.1.459

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, graph the function for \(-2 \pi \leq x \leq 2 \pi\), adjusting the vertical window as needed. State whether or not the function appears to be periodic. \(f(x)=x^{2}-2 \cos x\)

Chapter: 4 Problem: 4.1.1.460

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, graph the function for \(-2 \pi \leq x \leq 2 \pi\), adjusting the vertical window as needed. State whether or not the function appears to be periodic. f(x) = x cos x

Chapter: 4 Problem: 4.1.1.461

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, graph the function for \(-2 \pi \leq x \leq 2 \pi\), adjusting the vertical window as needed. State whether or not the function appears to be periodic. \(f(x)=x^{2} \cos x\)

Chapter: 4 Problem: 4.1.1.462

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, graph the function for \(-2 \pi \leq x \leq 2 \pi\), adjusting the vertical window as needed. State whether or not the function appears to be periodic. \(f(x)=(\sin x+1)^{3}\)

Chapter: 4 Problem: 4.1.1.463

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 18, graph the function for \(-2 \pi \leq x \leq 2 \pi\), adjusting the vertical window as needed. State whether or not the function appears to be periodic. \(f(x)=(2 \cos x-4)^{2}\)

Chapter: 4 Problem: 4.1.1.464

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 912, verify algebraically that the function is periodic and determine its period graphically. Sketch a graph showing two periods. \(f(x)=\cos ^{2} x\)

Chapter: 4 Problem: 4.1.1.465

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 912, verify algebraically that the function is periodic and determine its period graphically. Sketch a graph showing two periods. \(f(x)=\cos ^{3} x\)

Chapter: 4 Problem: 4.1.1.466

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 912, verify algebraically that the function is periodic and determine its period graphically. Sketch a graph showing two periods. \(f(x)=\sqrt{\cos ^{2} x}\)

Chapter: 4 Problem: 4.1.1.467

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 912, verify algebraically that the function is periodic and determine its period graphically. Sketch a graph showing two periods. \(f(x)=\left|\cos ^{3} x\right|\)

Chapter: 4 Problem: 4.1.1.468

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1318, state the domain and range of the function and sketch a graph showing four periods. \(y=\cos ^{2} x\)

Chapter: 4 Problem: 4.1.1.469

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1318, state the domain and range of the function and sketch a graph showing four periods. \(y=|\cos x|\)

Chapter: 4 Problem: 4.1.1.470

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1318, state the domain and range of the function and sketch a graph showing four periods. \(y=|\cot x|\)

Chapter: 4 Problem: 4.1.1.471

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1318, state the domain and range of the function and sketch a graph showing four periods. \(y=\cos |x|\)

Chapter: 4 Problem: 4.1.1.472

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1318, state the domain and range of the function and sketch a graph showing four periods. \(y=-\tan ^{2} x\)

Chapter: 4 Problem: 4.1.1.473

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1318, state the domain and range of the function and sketch a graph showing four periods. \(y=-\sin ^{2} x\)

Chapter: 4 Problem: 4.1.1.474

Precalculus: Graphical, Numerical, Algebraic 8th Edition
The graph of each function in Exercises 1922 oscillates between two parallel lines, as in Example 5. Find the equations of the two lines and graph the lines and the function in the same viewing window. y = 2x + cos x

Chapter: 4 Problem: 4.1.1.475

Precalculus: Graphical, Numerical, Algebraic 8th Edition
The graph of each function in Exercises 1922 oscillates between two parallel lines, as in Example 5. Find the equations of the two lines and graph the lines and the function in the same viewing window. y = 1 - 0.5x + cos 2x

Chapter: 4 Problem: 4.1.1.476

Precalculus: Graphical, Numerical, Algebraic 8th Edition
The graph of each function in Exercises 1922 oscillates between two parallel lines, as in Example 5. Find the equations of the two lines and graph the lines and the function in the same viewing window. y = 2 - 0.3x + cos x

Chapter: 4 Problem: 4.1.1.477

Precalculus: Graphical, Numerical, Algebraic 8th Edition
The graph of each function in Exercises 1922 oscillates between two parallel lines, as in Example 5. Find the equations of the two lines and graph the lines and the function in the same viewing window. y = 1 + x + cos 3x

Chapter: 4 Problem: 4.1.1.478

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2328, determine whether f(x) is a sinusoid. f(x) = sin x - 3 cos x

Chapter: 4 Problem: 4.1.1.479

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2328, determine whether f(x) is a sinusoid. f(x) = 4 cos x + 2 sin x

Chapter: 4 Problem: 4.1.1.480

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2328, determine whether f(x) is a sinusoid. \(f(x)=2 \cos \pi x+\sin \pi x\)

Chapter: 4 Problem: 4.1.1.481

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2328, determine whether f(x) is a sinusoid. f(x) = 2 sin x - tan x

Chapter: 4 Problem: 4.1.1.482

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2328, determine whether f(x) is a sinusoid. f(x) = 3 sin 2x - 5 cos x

Chapter: 4 Problem: 4.1.1.483

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2328, determine whether f(x) is a sinusoid. \(f(x)=\pi \sin 3 x-4 \pi \sin 2 x\)

Chapter: 4 Problem: 4.1.1.484

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2934, find a, b, and h so that \(f(x) \approx a \sin (b(x-h))\) f(x) = 2 sin 2x - 3 cos 2x

Chapter: 4 Problem: 4.1.1.485

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2934, find a, b, and h so that \(f(x) \approx a \sin (b(x-h))\) f(x) = cos 3x + 2 sin 3x

Chapter: 4 Problem: 4.1.1.486

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2934, find a, b, and h so that \(f(x) \approx a \sin (b(x-h))\) \(f(x)=\sin \pi x-2 \cos \pi x\)

Chapter: 4 Problem: 4.1.1.487

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2934, find a, b, and h so that \(f(x) \approx a \sin (b(x-h))\) \(f(x)=\cos 2 \pi x+3 \sin 2 \pi x\)

Chapter: 4 Problem: 4.1.1.488

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2934, find a, b, and h so that \(f(x) \approx a \sin (b(x-h))\) f(x) = 2 cos x + sin x

Chapter: 4 Problem: 4.1.1.489

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2934, find a, b, and h so that \(f(x) \approx a \sin (b(x-h))\) f(x) = 3 sin 2x - cos 2x

Chapter: 4 Problem: 4.1.1.490

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3538, the function is periodic but not a sinusoid. Find the period graphically and sketch a graph showing one period. y = 2 cos x + cos 3x

Chapter: 4 Problem: 4.1.1.491

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3538, the function is periodic but not a sinusoid. Find the period graphically and sketch a graph showing one period. y = 2 sin 2x + cos 3x

Chapter: 4 Problem: 4.1.1.492

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3538, the function is periodic but not a sinusoid. Find the period graphically and sketch a graph showing one period. y = cos 3x - 4 sin 2x

Chapter: 4 Problem: 4.1.1.493

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3538, the function is periodic but not a sinusoid. Find the period graphically and sketch a graph showing one period. y = sin 2x + sin 5x

Chapter: 4 Problem: 4.1.1.494

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3942, match the function with its graph. y = 2 cos x - 3 sin 2x

Chapter: 4 Problem: 4.1.1.495

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3942, match the function with its graph. y = 2 sin 5x - 3 cos 2x

Chapter: 4 Problem: 4.1.1.496

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3942, match the function with its graph. y = 3 cos 2x + cos 3x

Chapter: 4 Problem: 4.1.1.497

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3942, match the function with its graph. y = sin x - 4 sin 2x

Chapter: 4 Problem: 4.1.1.498

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4348, tell whether the function exhibits damped oscillation. If so, identify the damping factor and tell whether the damping occurs as \(x \rightarrow 0\) or as \(x \rightarrow \infty\). \(f(x)=e^{-x} \sin 3 x\)

Chapter: 4 Problem: 4.1.1.499

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4348, tell whether the function exhibits damped oscillation. If so, identify the damping factor and tell whether the damping occurs as \(x \rightarrow 0\) or as \(x \rightarrow \infty\). f(x) = x sin 4x

Chapter: 4 Problem: 4.1.1.500

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4348, tell whether the function exhibits damped oscillation. If so, identify the damping factor and tell whether the damping occurs as \(x \rightarrow 0\) or as \(x \rightarrow \infty\). \(f(x)=\sqrt{5} \cos 1.2 x\)

Chapter: 4 Problem: 4.1.1.501

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4348, tell whether the function exhibits damped oscillation. If so, identify the damping factor and tell whether the damping occurs as \(x \rightarrow 0\) or as \(x \rightarrow \infty\). \(f(x)=\pi^{2} \cos \pi x\)

Chapter: 4 Problem: 4.1.1.502

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4348, tell whether the function exhibits damped oscillation. If so, identify the damping factor and tell whether the damping occurs as \(x \rightarrow 0\) or as \(x \rightarrow \infty\). \(f(x)=x^{3} \sin 5 x\)

Chapter: 4 Problem: 4.1.1.503

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4348, tell whether the function exhibits damped oscillation. If so, identify the damping factor and tell whether the damping occurs as \(x \rightarrow 0\) or as \(x \rightarrow \infty\). \(f(x)=\left(\frac{2}{3}\right)^{x} \sin \left(\frac{2 x}{3}\right)\)

Chapter: 4 Problem: 4.1.1.504

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4952, graph both and plus or minus its damping factor in the same viewing window. Describe the behavior of the function for x > 0. What is the end behavior of ? \(f(x)=1.2^{-x} \cos 2 x\)

Chapter: 4 Problem: 4.1.1.505

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4952, graph both and plus or minus its damping factor in the same viewing window. Describe the behavior of the function for x > 0. What is the end behavior of ? \(f(x)=2^{-x} \sin 4 x\)

Chapter: 4 Problem: 4.1.1.506

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4952, graph both and plus or minus its damping factor in the same viewing window. Describe the behavior of the function for x > 0. What is the end behavior of ? \(f(x)=x^{-1} \sin 3 x\)

Chapter: 4 Problem: 4.1.1.507

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4952, graph both and plus or minus its damping factor in the same viewing window. Describe the behavior of the function for x > 0. What is the end behavior of ? \(f(x)=e^{-x} \cos 3 x\)

Chapter: 4 Problem: 4.1.1.508

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5356, find the period and graph the function over two periods. f(x) = sin 3x + 2 cos 2x

Chapter: 4 Problem: 4.1.1.509

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5356, find the period and graph the function over two periods. f(x) = 4 cos 2x - 2 cos (3x - 1)

Chapter: 4 Problem: 4.1.1.510

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5356, find the period and graph the function over two periods. f(x) = 2 sin (3x + 1) - cos (5x - 1)

Chapter: 4 Problem: 4.1.1.511

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5356, find the period and graph the function over two periods. f(x) = 3 cos (2x - 1) - 4 sin (3x - 2)

Chapter: 4 Problem: 4.1.1.512

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5762, graph over the interval \([-4\pi,\ 4\pi]\). Determine whether the function is periodic and, if it is, state the period. \(f(x)=\left|\sin \frac{1}{2} x\right|+2\)

Chapter: 4 Problem: 4.1.1.513

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5762, graph over the interval \([-4\pi,\ 4\pi]\). Determine whether the function is periodic and, if it is, state the period. f(x) = 3x + 4 sin 2x

Chapter: 4 Problem: 4.1.1.514

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5762, graph over the interval \([-4\pi,\ 4\pi]\). Determine whether the function is periodic and, if it is, state the period. f(x) = x - cos x

Chapter: 4 Problem: 4.1.1.515

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5762, graph over the interval \([-4\pi,\ 4\pi]\). Determine whether the function is periodic and, if it is, state the period. f(x) = x + sin 2x

Chapter: 4 Problem: 4.1.1.516

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5762, graph over the interval \([-4\pi,\ 4\pi]\). Determine whether the function is periodic and, if it is, state the period. \(f(x)=\frac{1}{2} x+\cos 2 x\)

Chapter: 4 Problem: 4.1.1.517

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5762, graph over the interval \([-4\pi,\ 4\pi]\). Determine whether the function is periodic and, if it is, state the period. f(x) = 3 - x + sin 3x

Chapter: 4 Problem: 4.1.1.518

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6370, find the domain and range of the function. f(x) = 2x + cos x

Chapter: 4 Problem: 4.1.1.519

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6370, find the domain and range of the function. f(x) = 2 - x + sin x

Chapter: 4 Problem: 4.1.1.520

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6370, find the domain and range of the function. f(x) = |x| + cos x

Chapter: 4 Problem: 4.1.1.521

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6370, find the domain and range of the function. f(x) = -2x + |3 sin x|

Chapter: 4 Problem: 4.1.1.522

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6370, find the domain and range of the function. \(f(x)=\sqrt{\sin x}\)

Chapter: 4 Problem: 4.1.1.523

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6370, find the domain and range of the function. f(x) = sin |x|

Chapter: 4 Problem: 4.1.1.524

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6370, find the domain and range of the function. \(f(x)=\sqrt{|\sin x|}\)

Chapter: 4 Problem: 4.1.1.525

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6370, find the domain and range of the function. \(f(x)=\sqrt{\cos x}\)

Chapter: 4 Problem: 4.1.1.526

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Oscillating Spring The oscillations of a spring subject to friction are modeled by the equation \(y=0.43 e^{-0.55 t} \cos 1.8 t\). (a) Graph y and its two damping curves in the same viewing window for \(0 \leq t \leq 12\). (b) Approximately how long does it take for the spring to be damped so

Chapter: 4 Problem: 4.1.1.527

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Predicting Economic Growth The business manager of a small manufacturing company finds that she can model the companys annual growth as roughly exponential, but with cyclical fluctuations. She uses the function \(S(t)=75(1.04)^{t}+4 \sin (\pi t / 3)\) to estimate sales (in millions of dollars), t yea

Chapter: 4 Problem: 4.1.1.528

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Writing to Learn Example 3 shows that the function \(y=\sin ^{3} x\) is periodic. Explain whether you think that \(y=\sin x^{3}\) is periodic and why.

Chapter: 4 Problem: 4.1.1.529

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Writing to Learn Example 4 shows that y = |tan x| is periodic. Write a convincing argument that y = tan |x| is not a periodic function.

Chapter: 4 Problem: 4.1.1.530

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 75 and 76, select the one correct inequality, (a) or (b). Give a convincing argument. (a) \(x-1 \leq x+\sin x \leq x+1\) for all x. (b) \(x-\sin x \leq x+\sin x\) for all x.

Chapter: 4 Problem: 4.1.1.531

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 75 and 76, select the one correct inequality, (a) or (b). Give a convincing argument. (a) \(-x \leq x \sin x \leq x\) for all x. (b) \(-|x| \leq x \sin x \leq|x|\) for all x.

Chapter: 4 Problem: 4.1.1.532

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7780, match the function with its graph. In each case state the viewing window. y = cos x - sin 2x - cos 3x + sin 4x

Chapter: 4 Problem: 4.1.1.533

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7780, match the function with its graph. In each case state the viewing window. y = cos x - sin 2x - cos 3x + sin 4x - cos 5x

Chapter: 4 Problem: 4.1.1.534

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7780, match the function with its graph. In each case state the viewing window. y = sin x + cos x - cos 2x - sin 3x

Chapter: 4 Problem: 4.1.1.535

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7780, match the function with its graph. In each case state the viewing window. y = sin x - cos x - cos 2x - cos 3x

Chapter: 4 Problem: 4.1.1.536

Precalculus: Graphical, Numerical, Algebraic 8th Edition
True or False The function f(x) = sin |x| is periodic. Justify your answer.

Chapter: 4 Problem: 4.1.1.537

Precalculus: Graphical, Numerical, Algebraic 8th Edition
True or False The sum of two sinusoids is a sinusoid. Justify your answer.

Chapter: 4 Problem: 4.1.1.538

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Multiple Choice What is the period of the function f(x) = |sin x|? (A) \(\pi / 2\) (B) \(\pi\) (C) \(2\pi\) (D) \(3\pi\) (E) None; the function is not periodic.

Chapter: 4 Problem: 4.1.1.539

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Multiple Choice The function f(x) = x sin x is (A) discontinuous. (B) bounded. (C) even. (D) one-to-one. (E) periodic.

Chapter: 4 Problem: 4.1.1.540

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Multiple Choice The function f(x) = x + sin x is (A) discontinuous. (B) bounded. (C) even. (D) odd. (E) periodic.

Chapter: 4 Problem: 4.1.1.541

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Multiple Choice Which of the following functions is not a sinusoid? (A) 2 cos (2x) (B) 3 sin (2x) (C) 3 sin (2x) + 2 cos (2x) (D) 3 sin (3x) + 2 cos (2x) (E) sin (3x + 3) + cos (3x + 2)

Chapter: 4 Problem: 4.1.1.542

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Group Activity Inaccurate or Misleading Graphs (a) Set Xmin = 0 and Xmax = \(2\pi\). Move the cursor along the x-axis. What is the distance between one pixel and the next (to the nearest hundredth)? (b) What is the period of f(x) = sin 250x? Consider that the period is the length of one full

Chapter: 4 Problem: 4.1.1.543

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Group Activity Length of Days The graph shows the number of hours of daylight in Boston as a function of the day of the year, from September 21, 1983, to December 15, 1984. Key points are labeled and other critical information is provided. Write a formula for the sinusoidal function and check it by g

Chapter: 4 Problem: 4.1.1.544

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 8996, first try to predict what the graph will look like (without too much effort, that is, just for fun). Then graph the function in one or more viewing windows to determine the main features of the graph, and draw a summary sketch. Where applicable, name the period, amplitude, domain,

Chapter: 4 Problem: 4.1.1.545

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 8996, first try to predict what the graph will look like (without too much effort, that is, just for fun). Then graph the function in one or more viewing windows to determine the main features of the graph, and draw a summary sketch. Where applicable, name the period, amplitude, domain,

Chapter: 4 Problem: 4.1.1.546

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 8996, first try to predict what the graph will look like (without too much effort, that is, just for fun). Then graph the function in one or more viewing windows to determine the main features of the graph, and draw a summary sketch. Where applicable, name the period, amplitude, domain,

Chapter: 4 Problem: 4.1.1.547

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 8996, first try to predict what the graph will look like (without too much effort, that is, just for fun). Then graph the function in one or more viewing windows to determine the main features of the graph, and draw a summary sketch. Where applicable, name the period, amplitude, domain,

Chapter: 4 Problem: 4.1.1.548

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 8996, first try to predict what the graph will look like (without too much effort, that is, just for fun). Then graph the function in one or more viewing windows to determine the main features of the graph, and draw a summary sketch. Where applicable, name the period, amplitude, domain,

Chapter: 4 Problem: 4.1.1.549

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 8996, first try to predict what the graph will look like (without too much effort, that is, just for fun). Then graph the function in one or more viewing windows to determine the main features of the graph, and draw a summary sketch. Where applicable, name the period, amplitude, domain,

Chapter: 4 Problem: 4.1.1.550

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 8996, first try to predict what the graph will look like (without too much effort, that is, just for fun). Then graph the function in one or more viewing windows to determine the main features of the graph, and draw a summary sketch. Where applicable, name the period, amplitude, domain,

Chapter: 4 Problem: 4.1.1.551

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 8996, first try to predict what the graph will look like (without too much effort, that is, just for fun). Then graph the function in one or more viewing windows to determine the main features of the graph, and draw a summary sketch. Where applicable, name the period, amplitude, domain,

Watch the video answers for this chapter

Book Terms

#<TextbookTerm:0x00007f62d5abc748>
#<TextbookTerm:0x00007f62d5abc5e0>
#<TextbookTerm:0x00007f62d5abc3b0>
#<TextbookTerm:0x00007f62d5abc1a8>
#<TextbookTerm:0x00007f62d5abc040>
#<TextbookTerm:0x00007f62f814fe08>
#<TextbookTerm:0x00007f62f814f980>
#<TextbookTerm:0x00007f62f814f700>
#<TextbookTerm:0x00007f62f814f520>
#<TextbookTerm:0x00007f62f814ed50>
#<TextbookTerm:0x00007f62f814eaf8>
#<TextbookTerm:0x00007f62f814e968>
#<TextbookTerm:0x00007f62f814e788>
#<TextbookTerm:0x00007f62f814e558>
#<TextbookTerm:0x00007f62f814e300>
#<TextbookTerm:0x00007f62f814e0f8>
#<TextbookTerm:0x00007f62f814dea0>
#<TextbookTerm:0x00007f62f814dce8>
#<TextbookTerm:0x00007f62f814db80>
#<TextbookTerm:0x00007f62f814da40>
×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back