Respuesta :

gmany

Answer:

[tex]\huge\boxed{C.}[/tex]

[tex]\huge\boxed{x-intercept=\dfrac{1}{2}(\pi)=\left(\dfrac{\pi}{2}, \pi\ \dfrac{3\pi}{2},\ 2\pi\right)}[/tex]

Step-by-step explanation:

x-intercept of y = f(x) → y = 0.

[tex]y=\sin2x\\\\y=0\Rightarrow\sin2x=0\Rightarrow 2x=k\pi\qquad|\text{divide both sides by 2}\\\\x=\dfrac{k\pi}{2},\ k\in\mathbb{Z}[/tex]