Question
Periodic Functions Online Practice Part 2
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
Use the image to answer the question.
A waveform is graphed on a coordinate plane, and five points are plotted along it. The x-axis ranges from negative pi to 3 pi in increments of Start Fraction pi over 2 End Fraction. The y-axis ranges from 0 to 4 in increments of 1.
What is the midline of the sine function?
(1 point)
Responses
y=32
d equals Start Fraction 3 over 2 End Fraction
y=12
d equals Start Fraction 1 over 2 End Fraction
y=52
d equals Start Fraction 5 over 2 End Fraction
y=3π2
d equals Start Fraction 3 pi over 2 End Fraction
Remaining Attempts : 3
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Answers
GPT-4o mini
The midline of a sine function is the horizontal line that runs through the center of the waveform, effectively representing the average value of the function's maximum and minimum points.
To determine the midline, you will need the maximum and minimum values of the sine function from the graph.
1. Identify the maximum value (let's call it \( y_{max} \)).
2. Identify the minimum value (let's call it \( y_{min} \)).
3. Calculate the midline using the formula:
\[
\text{Midline} = \frac{y_{max} + y_{min}}{2}
\]
From your responses, it appears that the potential midlines are:
- \( y = \frac{3}{2} \)
- \( y = \frac{1}{2} \)
- \( y = \frac{5}{2} \)
- \( y = \frac{3\pi}{2} \)
To select the correct answer, find the max and min values from the graph. Then use the formula above to find the midline and select the corresponding response. If you have the max and min points, I can help you calculate the midline accordingly!
To determine the midline, you will need the maximum and minimum values of the sine function from the graph.
1. Identify the maximum value (let's call it \( y_{max} \)).
2. Identify the minimum value (let's call it \( y_{min} \)).
3. Calculate the midline using the formula:
\[
\text{Midline} = \frac{y_{max} + y_{min}}{2}
\]
From your responses, it appears that the potential midlines are:
- \( y = \frac{3}{2} \)
- \( y = \frac{1}{2} \)
- \( y = \frac{5}{2} \)
- \( y = \frac{3\pi}{2} \)
To select the correct answer, find the max and min values from the graph. Then use the formula above to find the midline and select the corresponding response. If you have the max and min points, I can help you calculate the midline accordingly!