Question

How do you sketch the graph of `y=sin (pi)x`?

Answer 1

The graph will look like this:

Explanation:

It is actually a simple problem.
Since `x` is being multiplied by `sinpi`, we will have a straight line.

So let's see what `sinpi` is.
You can use your unit circle definition to find out that `sinpi=0`.

This means that for any given value of `x`, `y=0`. Therefore, we have a line with a slope of `0` that goes across the x-axis.