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Pearson Algebra 1 Common Core, 2011 View details

7. Graphing Rational Functions

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Exercise 13 Page 710

A line is an asymptote of a graph if the graph gets closer to the line as x or y increases in absolute value.

x=1, y=- 1

Practice makes perfect

Let's start by recalling the definition of an asymptote.

A line is an asymptote of a graph if the graph gets closer to the line as x or y increases in absolute value.

With this in mind, let's take a look at the given graph.

From the graph we can observe two things.

As x increases in absolute value, the graph approaches the horizontal line y=- 1. This is the horizontal asymptote.
As y increases in absolute value, the graph approaches the vertical line x=1. This is the vertical asymptote.