gen math Flashcards
a set of one or more ordered pairs. can be a rule that relates the domain and range
relation
set of all first coordinates of the ordered pair
domain
set of all second coordinates of the ordered pair
range
consists of two components (x, y) where both are real numbers
ordered pair
a special type of relation where each element in the domain is paired to the range only once.
function
a function may be presented as:
ordered pair, table, arrow/mapping diagram, equation or formula, function as a set of ordered pair, graphically
how is a function expressed as:
y = f(x)
what is used to identify if the graph is a function
vertical line test
functions defined in different domains because they are determined by several equations
Piecewise function
the independent variable in the function, since any element of the domain can replace it
x
the dependent variable, since its value depends on the value of x
y
how is rational function written as:
f(x) = p(x)/q(x)
an algebraic expression whose numerator and denominator are polynomials and the denominator is not zero
Rational Expression
Equation involving rational expressions
Rational Equation
is a function that can be written in the form f(x) = p(x)/q(x)
Rational Function
