Determine the amplitude and period of the following function. Then, graph the function. y sin 6x The amplitude is. (Simplify your answer.) The period is. (Type an exact answer using x as needed. Use integers or fractions for any numbers in the expression.) Use the graphing tool to graph the function. Click to enlarge graph (For any answer boxes shown with the grapher, type an exact answer. Type the word pi to insert the symbol r as needed.)
Determine the amplitude and period of the following function. Then, graph the function. y sin 6x The amplitude is. (Simplify your answer.) The period is. (Type an exact answer using x as needed. Use integers or fractions for any numbers in the expression.) Use the graphing tool to graph the function. Click to enlarge graph (For any answer boxes shown with the grapher, type an exact answer. Type the word pi to insert the symbol r as needed.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![**Determine the Amplitude and Period of the Following Function. Then, Graph the Function.**
Given function:
\[ y = \sin 6x \]
1. **The amplitude is** \[ \_\ \]
*(Simplify your answer.)*
2. **The period is** \[ \_\ \]
*(Type an exact answer using \(\pi\) as needed. Use integers or fractions for any numbers in the expression.)*
**Use the graphing tool to graph the function.**
*Graph Description:*
- The graph shows a standard sine wave form.
- The x-axis is marked from \(-2\pi\) to \(2\pi\) in increments of \(\frac{\pi}{2}\).
- The y-axis values range from -2 to 2.
- Several cycles of the sine function are visible due to the higher frequency from the \(6x\) factor.
(*For any answer boxes shown with the grapher, type an exact answer. Type the word "pi" to insert the symbol \(\pi\) as needed.*)
*Instructions: Click the graph, choose a tool in the palette, and follow the instructions to create your graph.*
*Option for action available: Save for Later.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8dd0ebbe-8030-4b7a-b11b-0fd9a7ecabfc%2F68a42afa-05ab-491b-a112-7c94ddecc05f%2Ffavxi9s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determine the Amplitude and Period of the Following Function. Then, Graph the Function.**
Given function:
\[ y = \sin 6x \]
1. **The amplitude is** \[ \_\ \]
*(Simplify your answer.)*
2. **The period is** \[ \_\ \]
*(Type an exact answer using \(\pi\) as needed. Use integers or fractions for any numbers in the expression.)*
**Use the graphing tool to graph the function.**
*Graph Description:*
- The graph shows a standard sine wave form.
- The x-axis is marked from \(-2\pi\) to \(2\pi\) in increments of \(\frac{\pi}{2}\).
- The y-axis values range from -2 to 2.
- Several cycles of the sine function are visible due to the higher frequency from the \(6x\) factor.
(*For any answer boxes shown with the grapher, type an exact answer. Type the word "pi" to insert the symbol \(\pi\) as needed.*)
*Instructions: Click the graph, choose a tool in the palette, and follow the instructions to create your graph.*
*Option for action available: Save for Later.*
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