select all the correct locations on the graph.\nthe graph of a sine function is shown. select two points on…

select all the correct locations on the graph.\nthe graph of a sine function is shown. select two points on the mid - line of the function that are separated by a distance of one period.

select all the correct locations on the graph.\nthe graph of a sine function is shown. select two points on the mid - line of the function that are separated by a distance of one period.

Answer

Explanation:

Step1: Identify the mid - line

The mid - line of the sine function is the horizontal line that the graph oscillates around. For this graph, the mid - line is $y = 3$.

Step2: Determine the period

The period of a sine function is the horizontal distance between two consecutive points with the same phase. Looking at the graph, the period is $\pi$.

Step3: Select points on the mid - line separated by a period

We need to find two points on $y = 3$ that are $\pi$ units apart horizontally. Points such as $(0,3)$ and $(\pi,3)$ are on the mid - line and separated by a period of $\pi$.

Answer:

Points like $(0,3)$ and $(\pi,3)$ (any two points on $y = 3$ with an $x$ - value difference of $\pi$)