Special Graphs
Terms
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
.
