Chapter 6.5, Problem 17AYU

In Problems 17-40, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.

$y=\text{3}\tan x$

To determine

To find: Domain and range.

Answer to Problem 17AYU

Solution:

Domain: $\left\{x\text{|}x\ne \frac{k\pi }{2},k \text{is an odd integer}\right\}$.

Range: $\left(-\infty ,\infty \right)$.

Explanation of Solution

Given:

$y=3\tan x$

Calculation:

The graph $y=3\tan x$.

Domain: $\left\{x\text{|}x\ne \frac{k\pi }{2},k \text{is an odd integer}\right\}$.

Range: $\left(-\infty ,\infty \right)$.