1. FUNCTIONS Section 3.6

2. Functions Section 3.6 Identify functions.

3. Identifying Functions Function  A function is a set of ordered pairs that assigns to each x-value exactly one y-value. Section 3.6

4. Function Analogy Domain: Critters on the Bus Range: Color of Bus Stop Section 3.6 (monkey, red) (puppy, yellow) (kitty, green) FUNCTION click for more examples…

5. Function Analogy Domain: Critters on the Bus Range: Color of Bus Stop In a function, x-values cannot repeat. Section 3.6 ( monkey, red ) ( puppy, yellow ) ( monkey, green ) Where’d the extra monkey come from?? NOT A FUNCTION click for more examples… The monkey can’t get off at two different stops.

6. Function Analogy Domain: Critters on the Bus Range: Color of Bus Stop In a function, y-values can repeat. Section 3.6 (monkey, red) (puppy, yellow) (kitty, yellow) Can two critters get off at the same stop? Yes! FUNCTION

7. 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)} 2. {(1, 4), (6, 6), (1, -3), (7, 5)} Section 3.6 yes no