Practice!

Sample Problem

Fill out the following table if f(x)=2tan2x:

x

-π/4

-π/8

0

π/8

π/4

f(x)=2tan2x

(If the answer is undefined or does not exist, write “undefined” in the blank)

Based on this information where does f(x) have vertical asymptotes?

at –π/ and π/

Solution

 

x

-π/4

-π/8

0

π/8

π/4

f(x)=2tan2x

undefined

-2

0

2

undefined

The graph of f(x)=2tan2x has vertical asymptotes at

Bx-c=-π/2 and Bx-c=π/2

2x-0=-π/2 and 2x-0=π/2

x=-π/4 and x=π/4