15 terms

Rational equation

An equation that contains one or more rational expressions

Rational function

A function whose rule can be written as a rational expression

Rational expression

An algebraic expression whose numerator and denominator are polynomials and whose denominator has a degree >_ 1

Rational inequality

An inequality that contains one or more rational expressions

Complex fraction

a fraction that contains one or more fractions in the numerator, the denominator, or both

Direct variation

A linear relationship between two variables, x and y, that can be written in the form y=kx, where k is a nonzero constant

Inverse variation

A relationship between two variables, x and y, that can be written in the form y=k/x, where k is a nonzero constant and x/=0

Joint variation

Relationship between three variables that can be written in teh form y=kxz, where k is a nonzero constant

Constant of variation

the constant k in direct, inverse, joint, and combined variation

Extraneous solution

A solution of a derived equation that is not a solution of the original equation

Continuous function

A function whose graph is an unbroken line or curve with no gaps or breaks

End behavior

The trends in the y-values of a function as the x-values approach positive and negative infinity.

Slant Asymptote

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Hole

An ommitted point on a graph. If a rational function has the same factor x-b in both the numerator and the denominator, and the line x=b is not a vertical asymptote, then there is a hole in the graph at the point where x=b

discontinuous function

A function whose graph has one or more jumps, breaks, or holes.