trigonometry

Question

how do I graph f(x)=-tan(x) and find the period

Answer 1

The period is pi. It's from x=-pi/2 to x=pi/2.

In that domain, tan(x) goes from negative infinity to positive infinity.

After that, the graph just repeats itself.

The graph is very similar to graphing x³ as it also approaches negative infinity and positive infinity, with an inflection point at the origin.