What is the number of x-intercepts in this graph of sine?

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The function : $y=3-4\sin(2\pi x-3\pi)$ .. how many $x$-intercepts over the interval $[0,2]$?

I am confused if they're 3 or 5

because there are 3 $x$-intercepts that are really intercepting $x$-axis

but there are 2 that stop at the $x$-axis and don't continue

I hope you get my point ..