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comes from a factor in the denominator that doesnt cancel out
hole in graph
comes from factor in the denominator that cancels with the same factor in the numerator
a line that the curve approaches as x goes to infinity but never reaches
least common multiple
The smallest multiple (other than zero) that two or more numbers have in common.
A fraction that contains one or more fractions in its numerator or denominator.
any value that makes the bottom of a rational function equal zero
a solution to a transformed equation that is not a solution of the original equation
an equation in one variable containing one or more rational expressions
an algebraic fraction whose numerator and denominator are polynomials
a function which is the ratio of 2 polynomials
One of two numbers whose product is 1; it is also called multiplicative inverse.
most simpliest form
The ______________________ is all the possible INPUT, X, values.
The difference between the greatest number and the least number in a set of data.
occurs when the degree of the top is higher than the degree of the bottom
1.) Add or subtract the numerators
Adding / Subtracting Rational Expressions (With common denominators)
1.) Find the LCD
Adding / Subtracting Rational Expressions (With uncommon denominators)
Complex Rational Expressions
1.) Simplify the numerator and the denominator as if they were separate expression
Solving Rational Equations
-If its a proportion
Rational Expression Word Problem
It takes Steve and Ryan each 2 hours to clean a car. It takes 3 hours for Brad to clean a car. How long will it take for them to clean 7 cars if they work together.
An imaginary line on a graph that acts as a boundary line.
Each part of the graph of a reciprocal function.
Occurs when factors in the denominator of a rational expression are not cancelled.
Point of Discontinuity
A hole or break in a graph.
A graph with no holes, jumps, or breaks.
Occurs when common factors are cancelled in a rational expression.
A graph that has holes, jumps, or breaks.
A function in which a variable occurs in the denominator but not in the numerator.