Chapter 4.6, Problem 7E

To determine

To fill the blank space: The range of $y=\sec x$ is …………..

Answer to Problem 7E

The range of $y=\sec x$ is … $(-\infty ,-1]\cup \left[1,\infty \right)$ ………..

Explanation of Solution

Given information :

Given function $y=\sec x$

A range function $f(x)$ is set of all possible values of $y=f(x)$ such that $f(x)$ is defined.

From above graph, we can observe that all possible values of $y=f(x)$ are real numbers except the open interval $\left(-1,1\right)$ .

Therefore, the range of $y=\sec x$ is $(-\infty ,-1]\cup \left[1,\infty \right)$