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Asymptote
An imaginary line that a function approaches but never touches.
End Behavior
The behavior of a function as the input values approach positive or negative infinity.
Hole (in a graph)
A point where a function is not defined due to a removable discontinuity.
Vertical Asymptote
A discontinuity found by setting the denominator equal to zero and solving for x.
X-Intercept
The point where the graph crosses the x-axis, found by setting the y-value to zero.
Horizontal Asymptote
A horizontal line that a function approaches as x approaches positive or negative infinity.
Removable Discontinuity (Hole)
A type of discontinuity that occurs at a specific point where a function is undefined but can be defined by factoring.
Finding X-Intercept
Set the numerator of the function equal to zero.
End Behavior of a Rational Function
Describes the values of a function as x approaches infinity or negative infinity.
Vertical Asymptote Determination
Found by identifying values where the function is undefined due to division by zero.
