Question

How do you find the period and graph the function `y=4tanx`?

Answer 1

The period of the function `y=tanx` is `pi`, it can be seen from the graph:

graph{tanx [-5, 5, -2.5, 2.5]}

The fundamental branche is in `(-pi/2,pi/2)`.

The `4` doesn't change the period, but only the shape, more steep, as it is possible to see:

graph{4tanx [-5.625, 5.625, -2.813, 2.81]}