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Thinking about Functions

Building blocks

Approaching asymptotes
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Warm-up

This is a graph of \(y=\dfrac{1}{x}.\)

A curve tending to the x-axis from above as x tends to negative infinity, and to the x-axis from below as x tends to positive infinity, and tending to negative infinity as x tends to 0 from the left, and tending to positive infinity as x tends to 0 from the right.

The graph has two asymptotes.

How would you describe what an asymptote is?