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a function which is the ratio of 2 polynomials
An imaginary line on a graph that acts as a boundary line.
comes from a factor in the denominator that doesnt cancel out
a line that the curve approaches as x goes to infinity but never reaches
y = mx + b
a function that can be written in the form f(x)=ax^2+bx+c, where a, b & c are real numbers and a is not equal to zero
Absolute Value Function
any f(x) = | x |
y = ab^x
square root function
a function that contains the independent variable in the radicand
an algebraic fraction whose numerator and denominator are polynomials
multiplying rational expressions
P/Q x R/S = PR/QS ; 1. factor 2. multiply 3. and simplify
dividing rational expressions
P/Q / R/S = P/Q x S/R = PS/QR ; 1. factor 2. opposite reciprocal 3. multiply 4. and simplify
divide a polynomial by a monomial
use distributive property to divide each term of the polynomial by the monomial
divide a polynomial by a binomial
use long division and align terms by their degrees; for each missing power, add a term into dividend with 0 as its coefficient
hole in graph
comes from factor in the denominator that cancels with the same factor in the numerator
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
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