Question

Which equation represents a tangent function with a domain of all Real numbers such that x is not equal to pi over 2 plus pi times n comma where n is an integer?

Answer 1

The equation that represents a tangent function with a domain of all Real numbers such that x is not equal to pi over 2 plus pi times n, where n is an integer, is y = tan(x). The values that make x equal to pi/2 + pi*n will result in vertical asymptotes.

Step-by-step explanation:

The equation that represents a tangent function with a domain of all Real numbers such that x is not equal to pi over 2 plus pi times n, where n is an integer, is y = tan(x).

The tangent function has a period of pi, so the values that make x equal to pi/2 + pi*n will result in vertical asymptotes. These values make the tangent function undefined.

For example, if n=0, the equation becomes y = tan(x), and the x-values that should be avoided are x = pi/2. If n=1, the equation becomes y = tan(x), and the x-values that should be avoided are x = pi/2 + pi, x = pi/2 + 2pi, and so on.

Answer 2

Answer: g(x) = tan(x-π)

Step-by-step explanation:

• graph all of them
• watch how all of the graphs except g(x) touch π over 2