determine the period of the following graph. answer

Answer:

$2\pi$

Explanation:

Step1: Recall the definition of period

The period of a periodic function is the horizontal length over which the function repeats its values.

Step2: Identify one full cycle

Looking at the graph, from (x = 0) to (x = 2\pi), the graph of the wave - like function (assuming it is a trigonometric function such as (y = \sin(x)) or (y=\cos(x)) after some transformation) completes one full cycle. For example, if we consider the general form of a sine function (y = A\sin(Bx - C)+D), the period (T=\frac{2\pi}{|B|}). In the standard case (B = 1), and from the visual inspection of the graph (counting the distance between two consecutive peaks or troughs or two consecutive points with the same phase), the distance between (x = 0) and (x = 2\pi) (where the pattern of the function repeats) gives the period.