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Relation
is a set of ordered pairs in which each element in the domain corresponds to at least one element in the range
Domain
is the set of all the first components of the ordered pairs
Range
is the set of all the second components of the ordered pairs
Function
is a relation between an input and output
Input (domain)
independent variable
Output (range)
dependent variable
relation
shows a relationship between two values
function
is a relation where each input has only one output
Composition of functions
is an operation where to functions generate a new function
Rational Expression
an expression that can be written as a ratio of two polynomials.
Equation
shows equal value of 2 expressions
Inequality
an expression is lesser than or more than the other
Rational Equation
equations containing rational terms, either in the numerator or enominator, or both /equation involving rational expression
Rational Inequality
that contains a rational equation
Rational Function
polynomials
Rational Equation
2x = 14 = 7x
Rational Inequality
32x > 1
Rational function
q(x) ≠ 0
Domain of Rational Function
consist of all real numbers except what number
Evaluating a function
means finding the value of f(x) or y that corresponds to a given value of x.
range
function is the set of all y values or outputs.
domain
of a function is the set of all x values or inputs