Question

Use the graph to determine the domain

and the range of function

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

Short answer

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

domain is role="math" localid="1646327517985" $\left\{x\right|x\ne \pm 2\mathrm{\pi k}\}$

range is$(-\infty ,\infty )$

Step-by-step solution

Step 1. The equation we have isy=tan(14x)+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$\left\{x\right|x\ne \pm 2k\mathrm{\pi }\}$wherekis an odd integer

range is$(-\infty ,\infty )$