# How do you graph y=-3sec(pi/2x)?

Nov 28, 2016

The period of the graph is 4. Look for graph $x \in \left[0 , 4\right]$, sans the points oh infinite discontinuity at x = 1 and x = 3, for the part of the graph, for one period.

#### Explanation:

sec (odd multiple of $\frac{\pi}{2}$) = $\pm \infty$.

The period for the graph is

the period for #cos (pi/2x) = (2pi)/(pi/2) = 4.

$y = \pm 3$, alternately, when x = an even integer.

$y \to \pm \infty$, as $x \to$ an odd integer.

graph{ycos(pi/2x)+3=0 [-20, 20, -10, 10]}