Question
Changes in Midline Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
A periodic function has a maximum value of 2.5 and a minimum value of −3.5
. What is the midline of its graph?(1 point)
y=
Remaining Attempts : 3
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Answers
GPT-4o mini
To find the midline of a periodic function, you can use the formula for the midline, which is the average of the maximum and minimum values of the function.
Given the maximum value \( (M) = 2.5 \) and the minimum value \( (m) = -3.5 \), the midline \( (L) \) can be calculated as follows:
\[
L = \frac{M + m}{2}
\]
Now, substituting the values for \( M \) and \( m \):
\[
L = \frac{2.5 + (-3.5)}{2} = \frac{2.5 - 3.5}{2} = \frac{-1}{2} = -0.5
\]
So, the midline of the graph is:
\[
y = -0.5
\]
Therefore, the answer is:
**y = -0.5**
Given the maximum value \( (M) = 2.5 \) and the minimum value \( (m) = -3.5 \), the midline \( (L) \) can be calculated as follows:
\[
L = \frac{M + m}{2}
\]
Now, substituting the values for \( M \) and \( m \):
\[
L = \frac{2.5 + (-3.5)}{2} = \frac{2.5 - 3.5}{2} = \frac{-1}{2} = -0.5
\]
So, the midline of the graph is:
\[
y = -0.5
\]
Therefore, the answer is:
**y = -0.5**