Question

What are the period and amplitude of the function?

Answer 1

The given graph displays a periodic function with a
`5`-unit period and a
`3`-unit amplitude. Therefore, option C is correct, accurately describing the function's characteristics based on the observed graph.

The given graph indicates a periodic function with repeating patterns. The period is the horizontal distance between two successive peaks or troughs. In this case, the graph repeats every
`5` units horizontally, so the period is indeed
`5`. The amplitude is the vertical distance from the midline to the peak or trough.

Here, the vertical distance is
`3` units, confirming the amplitude as
`3`.

Therefore, according to the graph, option C is correct with a period of
`5` and an amplitude of
`3`, aligning with the observed characteristics of the function's periodicity and vertical range.

Answer 2

The period of function is 5 and amplitude is 3.

Explanation:

The period of the function is the time interval after which it repeats itself.

It means the time interval after which the same value of graph is attained.

In the above case looking at the peak point at time 5 seconds, the same value is obtained at time 10 seconds.

Thus the time interval is (10 - 5) 5 seconds.

Amplitude is the maximum value attained by the graph in the complete interval.

In the above case, the maximum value attained is 3.