Find the amplitude of the sinusoidal function. fx 5 4 2 -37 -27 27 37 -2 -4 -5 -6 -7 -8 Simplify any fractions. amplitude =
Find the amplitude of the sinusoidal function. fx 5 4 2 -37 -27 27 37 -2 -4 -5 -6 -7 -8 Simplify any fractions. amplitude =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 15E
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![**Find the Amplitude of the Sinusoidal Function**
The following graph shows a sinusoidal function \( f(x) \). The goal is to find the amplitude of this function.
**Graph Description:**
- The graph represents a sinusoidal wave.
- The x-axis ranges from \(-4\pi\) to \(4\pi\).
- The y-axis ranges from 0 to 7.
- The maximum value of the function is 7.
- The minimum value of the function is 0.
To determine the amplitude of the sinusoidal function, we calculate it using the formula for amplitude:
\[ \text{Amplitude} = \frac{\text{Maximum value} - \text{Minimum value}}{2} \]
In this case:
\[ \text{Maximum value} = 7 \]
\[ \text{Minimum value} = 0 \]
So the amplitude is:
\[ \text{Amplitude} = \frac{7 - 0}{2} = \frac{7}{2} = 3.5 \]
**Simplify any fractions.**
\[ \text{amplitude} = \boxed{3.5} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10b4a626-7afc-4d91-83f8-b648fc2d66a4%2Faad9d2bf-08a7-4b20-8aa9-aec58cb42ca6%2Feuamerdm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Find the Amplitude of the Sinusoidal Function**
The following graph shows a sinusoidal function \( f(x) \). The goal is to find the amplitude of this function.
**Graph Description:**
- The graph represents a sinusoidal wave.
- The x-axis ranges from \(-4\pi\) to \(4\pi\).
- The y-axis ranges from 0 to 7.
- The maximum value of the function is 7.
- The minimum value of the function is 0.
To determine the amplitude of the sinusoidal function, we calculate it using the formula for amplitude:
\[ \text{Amplitude} = \frac{\text{Maximum value} - \text{Minimum value}}{2} \]
In this case:
\[ \text{Maximum value} = 7 \]
\[ \text{Minimum value} = 0 \]
So the amplitude is:
\[ \text{Amplitude} = \frac{7 - 0}{2} = \frac{7}{2} = 3.5 \]
**Simplify any fractions.**
\[ \text{amplitude} = \boxed{3.5} \]
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