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Chapter 11: Q25. (page 731)

Identify the asymptotes of each function.

y=2x鈭�4x+2

Short Answer

Expert verified

The asymptotes of the given function are x=4,x=鈭�2 and y=0.

Step by step solution

01

Step 1. Define asymptotes.

An asymptote is a line that the graph of a function approaches.

02

Step 2. Set a denominator equal to zero.

Set a denominator of a given expression equal to zero.

x鈭�4x+2=0

03

Step 3. Simplify.

Simplify the above expression.

x鈭�4=0orx+2=0x=4x=鈭�2

Therefore, the vertical asymptotes arex=4 and x=鈭�2. Horizontal asymptotes are y=0.

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