y y 6- 6F 4 2 3 -2 2 -2 2 2 -4 -6 -8 -8- State the amplitude, period, and midline. amplitude 6. period 2 midline y = 0 Determine the exact maximum and minimum y-values and their corresponding x-values for one period where x > 0. (For each answer, use the first occurrence for which x > 0.) (х, у) %3D (| 0,6 maximum (x, y) = 1, – 6 minimum
y y 6- 6F 4 2 3 -2 2 -2 2 2 -4 -6 -8 -8- State the amplitude, period, and midline. amplitude 6. period 2 midline y = 0 Determine the exact maximum and minimum y-values and their corresponding x-values for one period where x > 0. (For each answer, use the first occurrence for which x > 0.) (х, у) %3D (| 0,6 maximum (x, y) = 1, – 6 minimum
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
Graph two full periods of the function.
f(x) = 6 cos(?x)
i need help finding the maximum please
Transcribed Image Text:### Description of the Image:
The image displays two graphs of sinusoidal functions on a Cartesian plane.
#### Graph 1:
- **Axes**: The x-axis ranges from -2 to 2, and the y-axis ranges from -8 to 8.
- **Graph**: This is a sinusoidal wave oscillating between -6 and 6.
- **Period**: The graph completes one full cycle over a range of 2 units on the x-axis.
- **Midline**: Positioned at \( y = 0 \).
#### Graph 2:
- **Axes**: Similar to the first graph, the x-axis spans from -2 to 2, and the y-axis spans from -8 to 8.
- **Graph**: Another sinusoidal wave also oscillating between -6 and 6.
- **Period**: Completes one full cycle over 2 units on the x-axis.
- **Midline**: Also positioned at \( y = 0 \).
### Instructions:
#### Calculate the following for each graph:
- **Amplitude**: The maximum distance from the midline to the peak of the wave.
- **Period**: The distance along the x-axis for the function to return to its starting value.
- **Midline**: The horizontal line that runs through the center of the wave.
### Given Solutions:
- **Amplitude**: 6
- **Period**: 2
- **Midline**: \( y = 0 \)
#### Determine the maximum and minimum y-values and their corresponding x-values for one period where \( x > 0 \):
- **Maximum (x, y)**: \((0, 6)\)
- **Minimum (x, y)**: \((1, -6)\)
The checkmarks indicate correct entries, while an "x" indicates an incorrect entry for the maximum point's \(x\)-value.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education