Question

Question #709ad

Answer 1

Considering your function as: `f(x)=-2sin(pi/2x)` (I think), you have:

1] The Period of your function (basically the length of an entire oscillation) is: `(period)=(2pi)/color(red)(pi/2)=4` (using the `pi/2` which is multiplying `x` in the argument of `sin`);
2] The Frequency `f` of your function (basically the number of complete oscillations in one unit length) is equal to `1/(period)` so that: `f=1/4`, meaning that in 1 unit length you have `1/4` complete oscillation.

Graphically:
graph{-2sin(pix/2) [-7.023, 7.024, -3.51, 3.513]}
As you can see an entire complete oscillation goes, for example, from `0` to `4` (Period) and from `0` to `1` (one unit length) you have only `1/4` of an oscillation.

Hope it helps!