math problem hard to solve

Question

 Determine if the following functions are one-to-one, even,odd, periodic.

f(x)=tan (7x),for x ∈ [-pi,pi]

please tell me I don't get this tell the right answer so I can understand



Answer 1

The easiest way to answer this question is to graph the function.

You will immediately see that it is periodic.

Remember that an odd function looks like sin x and a continuous odd function ALWAYS goes through the origin.