Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:canBe |
gptkb:Proper
Improper |
| gptkbp:compatibleWith |
Polynomial (unless denominator is 1)
|
| gptkbp:definedIn |
A function that can be expressed as the ratio of two polynomials
|
| gptkbp:denominator |
Polynomial
|
| gptkbp:domain |
All real or complex numbers except where the denominator is zero
|
| gptkbp:example |
f(x) = (x^2 + 1)/(x - 3)
|
| gptkbp:field |
gptkb:Mathematics
|
| gptkbp:graphics |
Can have discontinuities
|
| gptkbp:hasSubfield |
gptkb:algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Rational Functions
|
| gptkbp:mayInclude |
gptkb:Holes
Horizontal asymptotes Oblique asymptotes Vertical asymptotes |
| gptkbp:numerator |
Polynomial
|
| gptkbp:property |
Closed under addition, subtraction, multiplication, and division (except by zero)
|
| gptkbp:relatedTo |
Polynomials
Rational expressions |
| gptkbp:roots |
Values of x that make the numerator zero
|
| gptkbp:undefinedAt |
Values of x that make the denominator zero
|
| gptkbp:usedIn |
gptkb:Calculus
gptkb:Algebraic_geometry gptkb:Mathematical_analysis |
| gptkbp:bfsParent |
gptkb:Meromorphic_Functions
|
| gptkbp:bfsLayer |
7
|