Untitled Flashcards Set

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.