Chapter 14.7, Problem 27WE

To determine

To Find: The graph for the given expression without the use of trigonometric or inverse trigonometric functions.

Answer to Problem 27WE

The required graph is shown in Figure 1

Explanation of Solution

Given:

The given expression is $y={\sec }^{-1}x$ .

Calculation:

Consider the given expression is,

  $y={\sec }^{-1}x$

The table for the value of $x$ for different value of $y$ is shown in Table 1

Table 1

$x$	$y={\sec }^{-1}x$
0	Not defined
1	0
-1	$\pi$

The graph for the function with the help of the points is shown in Figure 1

  

Figure 1