Understanding Asymptotes in Graphs

A point where the graph intersects the y-axis.

A line that a graph approaches but never crosses horizontally.

A line that a graph approaches but never crosses vertically.

A point where the graph intersects the x-axis.

By checking if the x-coordinate is constant.

By checking if the y-coordinate is constant.

By checking if the graph crosses the y-axis.

By checking if the graph crosses the x-axis.

x = -2

y = -2

x = 3

y = 3

A line that a graph approaches but never crosses horizontally.

A line that a graph approaches but never crosses vertically.

A point where the graph intersects the x-axis.

A point where the graph intersects the y-axis.

y = -2

x = 3

y = 3

x = -2

y = 3

x = 3

y = -2

x = -2

x = -2 and x = 5

y = -2 and y = 5

x = 3 and x = 5

y = 3 and y = 5

It approaches but never crosses the line.

It approaches and may cross the line.

It moves away from the line.

It intersects the line at one point.

It is where the graph crosses the y-axis.

It is where the graph crosses the x-axis.

It is the y-coordinate of the vertical asymptote.

It is the x-coordinate of the vertical asymptote.

To determine where the graph crosses the axes.

To understand the behavior of the graph at infinity.

To find the maximum and minimum points of the graph.

To calculate the area under the graph.