3RDQ MASTERY TEST 1 Flashcards
(27 cards)
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
