Corner

Definition

In calculus, a corner refers to a point on the graph of a function where two distinct lines meet, forming an angle greater than 180 degrees.

Related terms

Cusp: A cusp is similar to a corner but with one key difference - instead of forming an angle greater than 180 degrees, it forms exactly 180 degrees. It's like standing at the edge of two walls that are perfectly aligned, so you don't need to make any turns.

Vertical Asymptote: A vertical asymptote occurs when the graph approaches infinity or negative infinity as x approaches a certain value. It's like having one wall extending infinitely upwards or downwards without ever touching another wall.

Horizontal Asymptote: A horizontal asymptote is when the graph approaches a constant value as x goes towards positive or negative infinity. It's like having two parallel walls that never intersect no matter how far you walk along them.