The function shown on the graph is a <u>sine function</u>.
In the question, we are asked to identify the function that has been shown in the graph.
A trigonometric function called sin x, where x is the angle under discussion, stands for the sine of an angle. The sine function is the proportion between the perpendicular and hypotenuse of a right-angled triangle. In other words, it is the ratio of the hypotenuse to the side opposite the angle under examination, and its value changes as the angle changes. In the study of physics, sound and light waves are represented by the sine function.
Since sin x is defined for any x in (-∞, ∞) the domain of the sine function is all real integers. As the value of sin x does not exceed this, its range is [-1, 1], in contrast. The sine function's graph resembles an oscillating wave between -1 and 1. Additionally, sin x has a period of 2π since its value repeats every 2π radians. The domain and range of sine function can also be observed via its graph.
The graph shown in the figure satisfies all the conditions of being a sine graph.
Thus, the function shown on the graph is a <u>sine function</u>
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