Q. 33 - Precalculus Enhanced with Graphing Utilities

Question

Use the graph to determine the domain

and the range of function

$y=\tan \left(\frac{1}{4}x\right)+1$

Step-by-Step Solution

Answer

The graph of the equation $y=\tan \left(\frac{1}{4}x\right)+1$

domain is $\left\{x\right|x\ne \pm 2\mathrm{\pi k}\}$

range is $(-\infty ,\infty )$

Step 1. The equation we have is y = tan ( 1 4 x ) + 1

making the graph of the $\tan \left(x\right)$

Step 2. From the equation, the graph will be

graph is

Step 3. Domain and range

The graph of function state that the

The domain of the function is

domain is $\left\{x\right|x\ne \pm 2k\mathrm{\pi }\}$ where k is an odd integer

range is $(-\infty ,\infty )$