review the graph. which function represents the graph? o y = -cos(x) o y = -sin(x) o y = cos(x) o y = sin(x)

Explanation:

Step1: Analyze key points on the graph

At ( x = 0 ), the graph passes through the origin (( y = 0 )), eliminating ( \cos(x) ) and ( -\cos(x) ) (which have ( y = 1 ) and ( y = -1 ) at ( x = 0 )).

Step2: Check the slope at ( x = 0 )

The graph rises as ( x ) increases from 0, indicating a positive slope. The derivative of ( \sin(x) ) is ( \cos(x) ), which is 1 at ( x = 0 ) (positive slope), while the derivative of ( -\sin(x) ) is ( -\cos(x) ), which is -1 at ( x = 0 ) (negative slope). This rules out ( -\sin(x) ).

Answer:

( y = \sin(x) )