Display Title
Definition--Rationals and Radicals--Asymptotes for a Rational Function
Display Title
Asymptotes for a Rational Function
Topic
Rationals and Radicals
Definition
An asymptote is a line that a graph approaches but never touches.
Description
Asymptotes are significant in the study of Rational Numbers, Expressions, Equations, and Functions. They help in understanding the behavior of graphs of rational functions, particularly as the values of the variables approach certain limits. Horizontal asymptotes indicate the value that the function approaches as the input grows infinitely large or small. Vertical asymptotes show the values that the function cannot take because they cause division by zero.
Understanding asymptotes is crucial for graphing rational functions accurately and for solving equations involving rational expressions. They also play a role in calculus, where they help in analyzing limits and continuity.
For a complete collection of terms related to polynomials click on this link: Rationals and Radicals Collection
| Common Core Standards | CCSS.MATH.CONTENT.HSA.REI.A.2, CCSS.MATH.CONTENT.HSN.RN.A.1, CCSS.MATH.CONTENT.HSF.IF.C.7 |
|---|---|
| Grade Range | 8 - 12 |
| Curriculum Nodes |
Algebra • Rational Expressions and Functions • Rational Functions and Equations |
| Copyright Year | 2022 |
| Keywords | radicals, radical expressions, rational numbers, rational expressions, definitions, glossary term, rational functions |
