UNDERSTANDING RELATIONS AND FUNCTIONS...

RELATIONS
a set of ordered pairs

A relation can be represented by a set of
ordered pairs, a table, a graph, or a
mapping.

The DOMAIN (input) of a relation is the
x-coordinates of the ordered pairs.
The RANGE (output) of a relation is the
y-coordinates of the ordered pairs.

The INVERSE of a relation is found by
switching the coordinates of each
ordered pair.

FUNCTIONS
a relation when each element of the domain is
paired with exactly one element of the range.
• For every x there is exactly one y.
• The x-coordinate cannot repeat.

EXAMPLES THAT ARE FUNCTIONS:
EXAMPLES THAT ARE NOT FUNCTIONS:

VERTICAL LINE
TEST
test used to decide if a graph is a function.

EXAMPLE: FUNCTION!
If no vertical line can be drawn
so that it intersects the graph
more than once, then the
graph IS a function.

EXAMPLE: NOT A FUNCTION!
If any vertical line can be
drawn so that it intersects the
graph at two or more points,
then the relation IS NOT a
function.

FUNCTION
NOTATION
the y is replaced with f(x), read “f of x”

UNDERSTANDING RELATIONS AND FUNCTIONS...

More Related Content

Similar to UNDERSTANDING RELATIONS AND FUNCTIONS... (20)

Recently uploaded (20)

UNDERSTANDING RELATIONS AND FUNCTIONS...