Section 16.1 Functions

Functions Identify functions.

Identifying Functions 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 (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 monkey can’t get off at two different stops. Where’d the extra monkey come from?? (monkey, green) click for more examples…

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 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. {(2, 5), (-3, 7), (4, 5), (0, -1)} {(1, 4), (6, 6), (1, -3), (7, 5)} yes no