Question

use the table to answer the question.

values of y for specific
values of x

x	0	\\(\frac{\pi}{2}\\)	\\(\pi\\)	\\(\frac{3\pi}{2}\\)	\\(2\pi\\)
y	0	-1	-2	-1	0

review the table of values to determine the minimum, maximum, and midline for the cosine function.

(1 point)

the maximum value is \\( y = \square \\).

the minimum value is \\( y = \square \\).

the value of the midline is \\( d = \square \\).

Explanation:

Step1: Find Maximum Value

Look at the \( y \)-values: \( 0, -1, -2, -1, 0 \). The largest value among these is \( 0 \).

Step2: Find Minimum Value

From the \( y \)-values, the smallest value is \( -2 \).

Step3: Calculate Midline

The midline \( d \) is the average of the maximum and minimum values. So, \( d=\frac{\text{max}+\text{min}}{2}=\frac{0 + (-2)}{2}=\frac{-2}{2}=-1 \).

Answer:

The maximum value is \( y = 0 \).
The minimum value is \( y = -2 \).
The value of the midline is \( d = -1 \).