Rational expression
A ratio of two polynomial expressions, a variable in a fraction
Factors
Are multiplied together, cancel common factors, x-2
Terms
Do not cancel common terms, 3-9
Complex fraction
A rational expression with a numerator and/or denominator that is also a rational expression, a fraction divided by a fraction (fractions have variable in them)
Reciprocal function
An equation in the form of f(x)=1/a(x), where a(x) doesn't equal 0 and a(x) is a linear function
Hyperbola
A type of line
Rational function
f(x)=a(x)/b(x), b(x) doesn't equal 0
Vertical asymptote
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Horizontal asymptote
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Oblique asymptote
An asymptote that is neither horizontal or vertical (slant asymptote)
Point discontinuity
A point where the function is undefined, a hole in the graph
Reciprocal function
An equation in the form of f(x)=1/a(x), where a(x) doesn't equal 0 and a(x) is a linear function
Direct variation
y=km, m1/y1=m2/y2, one goes up the other goes up, one goes down the other goes down
Constant of variation
K
Joint variation
One quantity varies directly as the product of two or more other quantities, m varies jointly as n and p, m1/n1p1=m2/n1p1
Inverse variation
xy=k, y=k/x, x1y1=x2y2, one goes up the other goes down, one goes down the other goes up
Combined variation
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Rational equations
Equations that contain one or more rational expressions
Weighted average
A method for finding the mean of a set of numbers in which some elements of the set carry more importance, or weight, than others
Rational inequality
Inequalities that contain one ore more rational expressions