Arrow notation

Definition

Arrow notation is a way to describe the behavior of a function as the input approaches a particular value or infinity. It is commonly used to express limits, such as $\lim_{{x \to c}} f(x)$.

5 Must Know Facts For Your Next Test

1. Arrow notation uses arrows (→) to indicate approaching values, such as $x \to c$ or $x \to \infty$.
2. It helps in understanding the end behavior of polynomial and rational functions.
3. Arrow notation is crucial for determining horizontal and vertical asymptotes.
4. It is often used in conjunction with limit notation to describe function behavior at specific points.
5. Understanding arrow notation is key for solving problems involving discontinuities and infinite limits.

Review Questions

• How do you use arrow notation to describe the limit of a function as $x$ approaches infinity?
• What does $\lim_{{x \to c^+}} f(x)$ represent in terms of arrow notation?
• How can arrow notation help identify vertical asymptotes in rational functions?

Related terms

Asymptote: A line that a graph approaches but never touches. There are vertical, horizontal, and oblique asymptotes.

Limit: $\lim_{{x \to c}} f(x)$ describes the value that $f(x)$ approaches as $x$ gets closer to $c$.

Discontinuity: A point where a function is not continuous. Types include removable, jump, and infinite discontinuities.