# Function Notation Warm up Its Hat Day at the Braves game and every child 10 years old and younger gets a team Braves hat at Gate 7. The policies at the game are very strict. Every child entering Gate 7 must get a hat. Every child entering Gate 7 must wear the hat. Only children age 10 or younger can enter Gate 7. childmight shall wear a different

the one 1. No What be implied if hat all than the rules given to them but at the gate.were still children were

followed there 10 years old and younger in the ballpark without Thosehats? kids may NOT have entered Coordinate Algebra UNIT QUESTION: How can we use real-world situations to construct and compare linear

and exponential models and solve problems? Standards: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5 Todays Question: What is a function, and how is Functions vs Relations Relation Any set of input

that has an output Function A relation where EACH input has exactly ONE output Each element from the domain is paired with one and only one element from the range Domain

x coordinates Independent variable Input Range y coordinates Dependent variable Output Revisit the warm up:

Its Hat Day at the Braves game and every child 10 years old and younger gets a team Braves hat at Gate 7. The policies at the game are very strict. Every child entering Gate 7 must get a hat. Every child entering Gate 7 must wear the hat. Only children age 10 or younger can enter Gate 7. No child a different 1.What isshall

the wear gates input? hat than the one given in: to them at the 10 gate. Going Children & younger 2.without

What ishats the gates output? Coming out of Gate 7: Children 10 & younger WITH hats How do I know its a function? Look at the input and output table Each input must have exactly one output. Look at the Graph The Vertical Line test: NO vertical

line can pass through two or more points on the graph Function or relation? Example 1: {(3, 2), (4, 3), (5, 4), (6, 5)} function Function or relation?

Example 2: Function Function or relation? Example 3: relation Function or relation? Example 4: ( x, y) = (students name, shirt color)

function Function or relation? Example 5: Red Graph relation Function or relation? Example 6 Jacob

Angela Nick Greg Tayla Trevor Honda Toyota Ford function

Function or relation? Example 7 A persons cell phone number versus their name. function Function Notation

Function form of an equation A way to name a function f(x) is a fancy way of writing y in an equation. Pronounced f of x Evaluating Functions 8. Evaluating a function Tell me what you

f(x) = 2x 3 when x x=is -2 get when -2. f(-2) = 2(-2) 3 f(-2) = - 4 3 f(-2) = - 7 9. Evaluating a function

Tell me what you x f(x) = 32(2) when xx=is 3 get when 3. f(3) = 32(2)3 f(3) = 256 10. Evaluating a function Tell me what you

2 f(x) = x 2x + 3get find whenf(-3) x is -3. f(-3) = (-3)2 2(-3) + 3 f(-3) = 9 + 6 + 3 f(-3) = 18 11. Evaluating a function Tell me what you

f(x) = 3x + 1 find f(3)x is 3. get when f(3) = 33 + 1 f(3) = 28 8 6 4

2 -10 -5 5 -2 -4

-6 10 8 6 4 2

-10 -5 5 -2 -4 -6

-8 10 x h(x) -2 -1 0

1 2 5 4 3 2 1 x k(x)

-2 -2/9 -1 -2/3 0 -2

1 -6 2 -18 Domain and Range Only list repeats once

Put in order from least to greatest 12. What are the Domain and Range? x y 1 1 2

3 3 6 4 10 5 15 Domain {1, 2, 3, 4, 5,

6} : {1, 3, 6, 10, 15, Range:21} 6 21 13. What are the Domain and Range? Domain

:{0, 1, 2, 3, 4} Range: {1, 2, 4, 8, 16} 14. What are the Domain and Range? Domain :All Reals Range:

All Reals 15. What are the Domain and Range? Domain :x -1 Range: All Reals Homework/

Classwork Function Practice Worksheet