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Chapter 6: Q. 15 (page 419)

For what numbers x,-2蟺鈮�x鈮�2蟺,does the graph ofy=tanx have vertical asymptotes?

Short Answer

Expert verified

The graph of y=tanxhave vertical asymptotes at -3蟺2,-蟺2,蟺2,and3蟺2where-2蟺鈮�x鈮�2蟺.

Step by step solution

01

Step 1. Given Information 

The given function isy=tanx.

We have to find the vertical asymptotes at-2蟺鈮�x鈮�2蟺.

02

Step 2. Finding the numbers

For the function, y=tanxvertical asymptotes occur at odd integer multiples of 蟺2.

So, for-2蟺鈮�x鈮�2蟺the vertical asymptotes occur at-3蟺2,-蟺2,蟺2,and3蟺2.

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