Vertical Asymptotes

Definition

Vertical asymptotes are vertical lines on a graph where the function approaches positive or negative infinity as x approaches certain values. These lines act as barriers for the graph and indicate where the function "blows up" or becomes undefined.

Related terms

Horizontal Asymptotes: Horizontal asymptotes represent values toward which a graphed function approaches as x tends towards positive or negative infinity.

Rational Functions:

Rational functions are ratios of two polynomial functions. They often have vertical asymptotes due to the restrictions on dividing by zero.

Limits at Infinity:

Limits at infinity describe the behavior of a function as x approaches positive or negative infinity. These limits can help determine if a graph has vertical asymptotes.