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Chapter 6: Q. 13 (page 419)

For what numbers x,-2蟺鈮�x鈮�2蟺,does the graph of y=secxhave vertical asymptotes?

Short Answer

Expert verified

The graph of y=secxhave vertical asymptotes atrole="math" localid="1646401597898" -3蟺2,-蟺2,蟺2,3蟺2intheinterval-2蟺鈮�x鈮�2蟺.

Step by step solution

01

Step 1. Given Information

The given function is y=secx.

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=secxvertical asymptotes occur at x=蟺2+苍蟺.

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

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