1. Function - a relationship in which each input has exactly one output Function Rule - the operations applied to the input (the rule is the equation that represents the function)

2. We can read this as…. f of 10 equals 10 + 10 Or f of 10 is 20 Input (x value) Equation (function rule) Output f(x) 10 f(x) = x + 10 20

3. f(2) = 2 2 + 2 6 f(3) = 3 2 + 2 11 Fill in the missing values What we plug in What we plug it into What we get Input Function rule Output X f(x) = x 2 + 2 f(x) 1 f(1) = 1 2 + 2 3 2 3

4. A theater teacher thinks that the number of seniors in a school play should depend on the number of juniors in the play. The table below represents the number of juniors and seniors who performed in four different school plays. 1. Find the pattern from juniors to seniors. The number of seniors is half the number of juniors. Write this equation . The function is …… f(x) = ½ x Find f(18) by using the table f(18) is f(18) = ½ (18) = 9 x juniors f(x) seniors 14 7 16 8 18 9 20 10

5. In a restaurant, the manager observes the number of people inside and the number of cars in the parking lot at different times in the day. He comes up with the following table. Determine the function rule by finding the pattern in the above table. f(x) = 3x Find f(10) F(10) = 3(10) = 30 cars outside people inside 9 27 10 30 11 33 12 36

6. Function - a relationship in which each input has exactly one output Does each input have exactly one output? Nope…… 12 has two different outputs Does this table show a function? x – input f(x)-output 12 -6 8 -3 3 2 3 2 9 3 12 6

7. Class work: In your workbooks p. 30-32 1-8 What you don’t finish in class will be finished for homework. Write you answers on a separate sheet of paper.