Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Which of the following is the graph of y = 45inx? %3D

Which of the following is the graph of y = 45inx? %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Topic Video
Question
How can you graph this please
**Question:** Which of the following is the graph of \( y = 4 \sin \left( \frac{\pi}{4} x \right) \)? **Graph Description:** The graph shown is a sinusoidal wave representing the function \( y = 4 \sin \left( \frac{\pi}{4} x \right) \). - **Amplitude:** The maximum and minimum values are \( 4 \) and \(-4\), respectively, indicating an amplitude of \( 4 \). - **Period:** The period of the sine function is determined by the coefficient of \( x \) inside the sine function. Here, the period is \( \frac{2\pi}{\frac{\pi}{4}} = 8 \). - **X-Intercepts:** The graph crosses the x-axis at \( x = 0, 4, 8, \ldots \). - **Y-Intercept:** The graph starts at \( (0,0) \), since \( \sin(0) = 0 \). - **Behavior:** The wave rises to \( 4 \) at \( x = 2 \) and falls back to \( 0 \) at \( x = 4 \), then continues symmetrically. The sinusoidal pattern repeats every 8 units along the x-axis.
Transcribed Image Text:**Question:** Which of the following is the graph of \( y = 4 \sin \left( \frac{\pi}{4} x \right) \)? **Graph Description:** The graph shown is a sinusoidal wave representing the function \( y = 4 \sin \left( \frac{\pi}{4} x \right) \). - **Amplitude:** The maximum and minimum values are \( 4 \) and \(-4\), respectively, indicating an amplitude of \( 4 \). - **Period:** The period of the sine function is determined by the coefficient of \( x \) inside the sine function. Here, the period is \( \frac{2\pi}{\frac{\pi}{4}} = 8 \). - **X-Intercepts:** The graph crosses the x-axis at \( x = 0, 4, 8, \ldots \). - **Y-Intercept:** The graph starts at \( (0,0) \), since \( \sin(0) = 0 \). - **Behavior:** The wave rises to \( 4 \) at \( x = 2 \) and falls back to \( 0 \) at \( x = 4 \), then continues symmetrically. The sinusoidal pattern repeats every 8 units along the x-axis.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS