3RDQ MASTERY TEST 1 Flashcards
3 types of correspondence
one to one
one to many
many to one
which correspondence is not a function
one to many
set of inputs and outputs
relation
a correspondence between two sets x and y in which each element of set x corresponds to exactly one element of set y
function
function is like a machine because
an input enters the machine which produces an output
all — are —, but not all — are —
all functions are relations, but not all relations are functions
function may be defined by
mapping, table of values, set of ordered pairs, notation, graph
how do we determine if a relation in a graph is a function
vertical line test
how do we determine if a relation is a function in mapping, table of values, and set of ordered pairs
by determining the type of correspondence
a graph is a function if and only if no vertical line intersects the graph in more than one point
vertical line test
an efficient and effective way to display the output of a function f corresponding to an input x
function notation
function can be named by letters such as
f, g, h
F, G, H
types of function
linear, polynomial, absolute value, rational, radical, trigonometric, exponential, logarithmic, piecewise
highest exponent of literal coefficient (x) is 1
linear function
what is the graph of a linear function
horizontal or diagonal line
value of x and y are the same (y=x)
identity linear function or identity function
all possible values of x
domain
all possible values of y
range
graph of a quadratic function
parabola opening upward or downward
meaning of []
from – to –
meaning of ()
between
highest exponent of literal coefficient (x) is 2
quadratic function
graph of other polynomial functions (cubic, quartic, etc)
smooth continuous curve
domain and range can be written in
interval notation or set builder notation
which value comes first
LOWER
meaning of (-1, 3]
values include -0.999… up until 3
defined by different functions throughout the different intervals of the domain
piecewise function
