Question

How do you find the amplitude and period of a function `y=-3tan(pi(x))`?

Answer 1

The tangent function has no amplitude. The period of this function, calculated using `p=pi/b` (a formula used for finding the period of any tangent or cotangent function) where `b=pi,` is `1.`

Explanation:

The tangent function has no amplitude because it has no minimum or maximum value. When we graph the tangent function, we see that it extends up infinitely far and extends down infinitely far, due to its asymptotic nature.

The period of the tangent and cotangent functions, when in the form `y=tan(bx)` and `y=cot(bx)` are given by `p=pi/b`.

Here, we see `b=pi`, so `p=cancelpi/cancelpi=1`.