To be able to identify and use function notation. Today’s Objective To be able to identify and use function notation.

What’s a Function? First of all what does the word relation mean to you? A relation in math is a group of ordered pairs, just like your aunt and uncle.

What’s a Function? A relation in math is a group of ordered pairs. A function is a relation in which no two ordered pairs have the same x-value.

What’s a Function? A function is a relation in which no two ordered pairs have the same x-value. (3,2) , (4,5) , (6,-1) , (0,2) is a function because all the x-values are different

What’s NOT a Function? A function is a relation in which no two ordered pairs have the same x-value. (-3,2) , (4,5) , (6,-1) , (4,2) is NOT a function.

What’s a Function? Y X

What’s NOT a Function? Y X

What’s a Function Input function Output

The value of y depends on x What’s a Function The value of y depends on x x function Output y

What’s a Function 1 3x + 2 5 Output

What’s a Function 2 3x + 2 ? 8 Output

Function Notation (x,y) is a solution of y = 3x + 2. (x, f(x)) is a solution of f(x) = 3x + 2. In other words f(x) is the same thing as y.

If x = 1 and f(x) = 3x + 2, then: f(1) = 3(1) + 2 f(1) = 3 + 2 Function Notation If x = 1 and f(x) = 3x + 2, then: f(1) = 3(1) + 2 f(1) = 3 + 2 f(1) = 5 Remember

What’s a Function 1 3x + 2 5 Output

If x = 2 and f(x) = 3x + 2, then: f(2) = 3(2) + 2 f(2) = 6 + 2 Function Notation If x = 2 and f(x) = 3x + 2, then: f(2) = 3(2) + 2 f(2) = 6 + 2 f(2) = 8

If x = 5 and f(x) = 3x + 2, then: f(5) = 3(5) + 2 f(5) = 15 + 2 Function Notation If x = 5 and f(x) = 3x + 2, then: f(5) = 3(5) + 2 f(5) = 15 + 2 f(5) = 17 Your Turn

If x = 1 and f(x) = 3x2 + 2x - 1 f(1) = 3(1)2 + 2(1) - 1 Function Notation If x = 1 and f(x) = 3x2 + 2x - 1 f(1) = 3(1)2 + 2(1) - 1 f(1) = 3 + 2 - 1 f(1) = 4

If x = 2 and f(x) = 3x2 + 2x - 1 f(2) = 3(2)2 + 2(2) - 1 Function Notation If x = 2 and f(x) = 3x2 + 2x - 1 Your Turn f(2) = 3(2)2 + 2(2) - 1 f(2) = 12 + 4 - 1 f(2) = 15

Find the Mean, Median, and the Mode 30, 34, 46, 26, 44, 24, 30, 26, 20, 40, ,36, 28, 45, 20, 18

Mean = 31 Median = 30 Mode = 20, 26, & 30 18, 20, 20, 24, 26 26, 28, 30, 30, 34 36, 40, 44, 45, 46

Classwork See Side Board