Q. 10 - Precalculus Enhanced with Graphing Utilities

Question

What is the y-intercept of $y=cscx$?

Step-by-Step Solution

Answer

The function $y=csc x$ has no y-intercept.

Step 1. Given Information

The given function is $y=cscx.$

We have to find the y-intercept.

Step 2. Finding the y- intercept

To find the y-intercept, substitute $0$ for x in a given function.

So,

$$\begin{gathered} y=cscx \\ y=\frac{1}{\sin x} \\ y=\frac{1}{\sin \left(0\right)} \\ y=\frac{1}{0} \end{gathered}$$

Thus, the function has no y-intercept.