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Special Graphs

Terms

Introduction and Summary

Symmetry

Asymptote  -  A line that a graph approaches without touching.
Axis of Symmetry  -  The line over which a graph can be reflected without altering the graph.
Hole  -  A single point at which a function has no value.
Horizontal Asymptote  -  If a graph has a horizontal asymptote of y = k , then part of the graph approaches the line y = k without touching it -- y is almost equal to k , but y is never exactly equal to k .
Symmetry  -  If a graph does not change when reflected over a line or rotated around a point, the graph is symmetric with respect to that line or point.
Vertical Asymptote  -  If a graph has a vertical asymptote of x = h , then part of the graph approaches the line x = h without touching it -- x is almost equal to h , but x is never exactly equal to h .

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