Functions, Notation, and Equation Flashcards
denote equality between two expressions.
Equations
denote relationships between two variables
functions
represented by writing the appropriate functions for each interval.
piecewise function
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
Some values of x are associated with more than one value of y.
One-to-many correspondence
Two or more values of x are associated with the same value of y.
Many-to-one correspondence
Each value of x is unique and is associated with a unique value of y.
one-to-one correspondence
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
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
It contains all values that go into the function.
domain
is the set of all values of y that can be obtained from the possible values of x.
range
It contains all possible values of the function.
range
It has a degree of 1 and its graph is a straight line.
Linear function
a function is defined in the form of a linear equation
Linear function
a function is defined in the form of a quadratic equation
Quadratic Function
It has a degree of 2 and its graph is a parabola
Quadratic Function
a function whose degree is greater than 2
Polynomial Function
a function is defined in the form of a rational equation,
Rational Function
It is the ratio of two polynomials
Rational Function
a function is defined in the form of an equation that contains radical expressions
Radical Function