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Rational Functions

Rational Functions

 Table of Contents

Algebra II Terms

Get down with the lingo

Asymptote

Closer and closer and closer…a line that a graph approaches but never touches.

Combined Variation

Combines or merges direct variation (one goes up the other goes up) and inverse variation (one goes up the other goes down).


Domain

"D" is for domain, where the denominator doesn't equal diddly (by that, we mean the denominator isn't zero).

Direct Variation

An equation with a constant (k) where one goes up, the other goes up, or one goes down, the other goes down.

y = kx

Extraneous Root

A false solution to an equation. It makes the equation blow up because the denominator is zero.

Intercept

For all you sports nuts—think football. It's the point where a graph "takes," "seizes," or "crosses" an axis.

Inverse Variation

An equation with a constant (k) where one goes up, the other goes down, or one goes down, the other goes up.


Joint Variation

Joint = together. It's an equation with a constant (k) where one depends on two variables together.

z = kxy

Rational Equation

Keep an eye out for "ratios" and an "=" sign. This is an equation involving one or more rational expressions.

Rational Expression

"Rational" = ratio. This is the ratio of two polynomials.

Rational Function

"Rational" = ratio. This is a function that is equal to the ratio of two polynomials.

Reciprocal

A "flipped" or inverted fraction. Watch out for the zeros in the denominator.

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