Q. 3 - Precalculus Enhanced with Graphing Utilities

Question

The graph of $y=\tan x$ is symmetric with respect to the _______ and has vertical asymptotes at _________ .

Step-by-Step Solution

Answer

The graph of $y=\tan x$ is symmetric with respect to the origin and has vertical asymptotes at  $\left(\frac{\pi }{2}+n\pi \right)·$

Step 1. Given Information

We have to tell what is symmetric to the graph of a function $y=\tan x$ and where has vertical asymptotes.

Step 2. Filling the blank

The graph of $y=\tan x$ is symmetric with respect to the origin and has vertical asymptotes at $\left(\frac{\mathrm{\pi }}{2}+n\mathrm{\pi }\right).$