Precalculus Examples

$y = arccsc (x)$

Step 1

The range is the set of all valid $y$ values. Use the graph to find the range.

Interval Notation:

$[- \frac{π}{2}, 0) \cup (0, \frac{π}{2}]$

Set-Builder Notation:

${y | - \frac{π}{2} \leq y \leq \frac{π}{2}, y \neq 0}$

Step 2

There is only one horizontal asymptote.

Horizontal Asymptote: $y = 0$

No Vertical Asymptotes

No Oblique Asymptotes

Step 3