Transcript Function Analogy

Section 16.1
FUNCTIONS
Functions
 Identify functions.
Identifying Functions
 Function
 A function is a set of ordered pairs that assigns to each x-value
exactly one y-value.
Function Analogy
 Domain: Critters on the
Bus
 Range: Color of Bus Stop
FUNCTION
(monkey, red)
(puppy, yellow)
(kitty, green)
click for more examples…
Function Analogy
 Domain: Critters on the
Bus
 Range: Color of Bus Stop
 In a function, x-values
cannot repeat.
NOT A FUNCTION
(monkey, red)
(puppy, yellow)
The
monkeythe
can’t
get off
at two different
stops.
Where’d
extra
monkey
come from??
click for more examples…
(monkey, green)
Function Analogy
 Domain: Critters on the
Bus
 Range: Color of Bus Stop
 In a function, y-values
can repeat.
FUNCTION
(monkey, red)
(puppy, yellow)
(kitty, yellow)
Can two critters get off at the same stop?
Yes!
Identifying Functions
 Function
 A function is a set of ordered pairs that assigns to each x-value
exactly one y-value.

For each input there is only one output.
 All x-coordinates must be different.
 The y-coordinates can be repeating.
 Determine if the relation is also a function.
1.
{(2, 5), (-3, 7), (4, 5), (0, -1)}
yes
2.
{(1, 4), (6, 6), (1, -3), (7, 5)}
no