GEN MATH Flashcards
It is a special kind of relation in which no two distinct ordered pairs have the same first element.
function
The value that a function takes in.
The input.
Independent variable
the corresponding value that the function produces.
the output.
outputs are also known as values of f(x).
Dependent variable
The arrow is read as
is mapped to
colon symbol is read as
such that
may also be used to represent functions.
we can substitute a value of y to obtain a
corresponding value of x.
candidate functions
denote equality between two expressions
equations
denote relationships between two variables
functions
can be represented by writing the appropriate
functions for each interval
piecewise function
is a set of objects, such as numbers,
grouped with each other that may or may not
represent a pattern.
relation
It is simply a set of ordered pairs
that are arranged in an orderly manner.
relation
Each value of x is unique and is associated with a unique value of y .
one to one relation
Two or more values of x are associated with the same value of y.
many to one relation
Some values of x are associated with more than one value of y.
one to many relation
Some values of both x and y are associated with more than one value of their
counterpart.
many to many relation
is a special kind of relation in which
no two distinct ordered pairs have the same first
element
function
can be used to determine if a graph represents a function.
vertical line test
is a
graphic organizer or chart that helps you determine two or more points that can be used
to create your graph.
table of values
is the set of
all values of the independent variable x
that have corresponding values of
the dependent variable y.
domain of a function
is the set of all
values of y that can be obtained from
the possible values of x.
range of a function
function is defined in the form of a linear equation, has a degree of 1
linear function
graph of linear function
straight line
domain of any linear function and the range of any linear function
set of real numbers
function is defined in the form of a quadratic equation, has a degree of 2
quadratic function
graph of quadratic function
parabola
domain of any quadratic function and range of the function
set of real numbers and nonnegative real number
If a function is defined in the form of a polynomial equation whose degree is greater than
2.
polynomial function
If the degree of a polynomial function is odd, then its domain and range are both equal to ___. This is the case for
every polynomial function whose degree is 3, 5, 7 or any other odd number.
set of real numbers
a function is defined in the form of a rational equation. It
is the ratio of two polynomials.
rational function
function is defined in the form of an equation that contains radical expressions
radical function
general formula of addition of functions
(f+g)(x)= f(x)+g(x)
general formula of subtraction of functions
(f-g)(x)= f(x)-g(x)
general formula of multiplication of functions
(f.g)(x)= f(x).g(x)
general formula of division of functions
(f/g)(x)= f(x)/g(x)
the composition of two functions f(x) and g(x) is denoted by (f o g) (x)
function composition
general formula of function composition
(f o g)(x)= (f(g(x))
