August 23, )Please put your signed syllabus on the overhead projector. 2)Put your name on any supplies and put them on the long table. 3)Have your binder, dividers, paper on your desk.

SET UP BINDERS: Assignment Sheet Assignment Sheet Warm-ups Warm-ups Notes Notes Home Work Home Work Quizzes Quizzes Function Book Function Book Vocabulary Vocabulary

I can’t Function without Candy!

Functions For each input value there is one and only one output value.

Vocabulary Domain – Domain – Range – Range – Independent Variable – Independent Variable – Dependent Variable - Dependent Variable - All input values (x-values) All output values (y-values) Input variable (x variable) Output variable (y variable)

Is it a Function?

Domain: ____________________ Range: _____________________ {0, 2, 4, 6} {24, 27, 30, 33}

Domain: ____________________ Range: _____________________ {4, 7, 11, 13} {10, 20, 35, 45}

Here is a discrete graph. Is this a function? Starburst Hershey’s Skittles Snickers Reese’s Input Output Notice there is more than one output value for the input values of 1 and of 2. ( Vertical Line Test)

Functions vs Relations A function is a relation between two variables or quantities with only one output value for each input value. We have only one dependent (y) value for each individual independent (x) value.

Which graph shows a function? Starburst Hershey’s Skittles Snickers Reese’s Input Output Starburst Hershey’s Skittles Snickers Reese’s Input Output How do you know? AB

Which of the following display functional relationships? A B C How do you know?

Which of the following display functional relationships? B A C How do you know?

Parent Functions Constant y = 0 f(x) = 0

Parent Functions Identity y = x f(x) = x

Parent Functions Quadratic y = x 2 f(x) = x 2

Parent Functions Cubic y = x 3 f(x) = x 3

Parent Functions Absolute Value y = |x| f(x) = |x|

Homework: worksheet 1-1 Read pages A2 and A3 in your textbook. Complete all of the WS IN PENCIL, showing work if necessary