15 terms

ch 8 vocab

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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.