# Thread: [SOLVED] help with asymptopes

1. ## [SOLVED] help with asymptopes

okay, I don't know how to do this and I have 7 other problems just like it. So can someone help with me this please?

::Problem::
Find the first TWO non-negative asymptotes and the first negative asymptote of the graph of in radians

.

smallest non-negative asymptote:

second non-negative asymptote:
first negative asymptote:

2. Originally Posted by lsnyder
okay, I don't know how to do this and I have 7 other problems just like it. So can someone help with me this please?

::Problem::
Find the first TWO non-negative asymptotes and the first negative asymptote of the graph of in radians

.

smallest non-negative asymptote:

second non-negative asymptote:
first negative asymptote:
Hi lsnyder,

Write the general form of the equation of a tangent function.

$\displaystyle y=\tan bx$

The period is $\displaystyle \frac{\pi}{b}$

Compare the given equation with the general form.

$\displaystyle y=\tan 3x$

$\displaystyle b=3$

Find the period:

Period = $\displaystyle \frac{\pi}{3}$

Find the interval for one cycle:

$\displaystyle -\frac{\pi}{2b} \ \ to \ \ \frac{\pi}{2b}$

$\displaystyle -\frac{\pi}{6} \ \ to \ \ \frac{\pi}{6}$

Since vertical asymptotes occur at the end of each cycle, the two asymptotes are at$\displaystyle x=\pm \frac{\pi}{6}$

Another positive asymptote occurs at $\displaystyle x=\frac{\pi}{2}$