calculator which equation represents the function on the graph? o f(x)=cos2x o f(x)=sin2x o f(x)=sin1/2x o…

Explanation:

Step1: Analyze the y - intercept

The graph has a y - intercept of 1. For the cosine function (y = A\cos(Bx)), when (x = 0), (y=A\cos(0)=A), and for the sine function (y = A\sin(Bx)), when (x = 0), (y = A\sin(0)=0). Since the y - intercept of the given graph is 1, the function is a cosine - type function, so we can rule out the sine - function options (f(x)=\sin2x) and (f(x)=\sin\frac{1}{2}x).

Step2: Analyze the period

The period (T) of a trigonometric function (y = A\cos(Bx)) or (y = A\sin(Bx)) is given by (T=\frac{2\pi}{|B|}). From the graph, the period (T=\pi). Using the period formula (T = \frac{2\pi}{|B|}), if (T=\pi), then (\pi=\frac{2\pi}{|B|}), solving for (B) gives (|B| = 2).

Answer:

(f(x)=\cos2x)