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

Recently Viewed Presentations

  • CS 363 Comparative Programming Languages

    CS 363 Comparative Programming Languages

    Designed Ruby to follow the principle of least surprise - the language should be free from traps and inconsistencies of other languages Python Python is an interpreted, interactive programming language created by Guido van Rossum in 1990 Originally as a...
  • Chapter 10: Two-Sample Tests and One-Way ANOVA

    Chapter 10: Two-Sample Tests and One-Way ANOVA

    See reference 8 from this chapter for more details. This test utilizes two separate sample variances to estimate the degrees of freedom for the t test (continued) Separate-Variance t Test Example You are a financial analyst for a brokerage firm....
  • Leading from the Heart - Matthews UMC

    Leading from the Heart - Matthews UMC

    - Matthew 18:19-20 (NIV) Christian leadership requires that we engage with others in a connective manner… a manner that is ethical, authentic, accountable, and, particularly, dignifying. Ecclesiastes 4:12 states, though a man might prevail against one who is alone, two...
  • finke: 404

    finke: 404

    Zur Startseite. Die von Ihnen angeforderte Seite konnte leider nicht gefunden werden.
  • Diapositiva 1 - Kybele

    Diapositiva 1 - Kybele

    Integrar IDEs ("Entornos de Desarrollo Integrado"), como Eclipse, IBM WSAD y RAD, Borland JBuilder, IntelliJ IDEA, NetBeans y Sun Java Studio. Integrar IO Software ArcStyler, AndroMDA y otras herramientas MDA (Model Driven Architecture). Tranformaciones de modelos de Platform Independent Model...
  • d2cax41o7ahm5l.cloudfront.net

    d2cax41o7ahm5l.cloudfront.net

    Database of National Institute for Environmetal Studies:1993-2014. nAChRs have critical role inneurodevelopment. In the human fetal cerebellum, α4, α7, β2, and β4 nAChRs are highly expressed (Hellström-Lindahl,1998). ... Toru Aoi at Gunma National College ofTechnology. Tomonori Kawakami at ...
  • The Coming Physics at BES

    The Coming Physics at BES

    Measurement of pp Form Factor at BES Haiming Hu Institute of High Energy Physics, CAS, Beijing NUCLEON05, Frascati, Italy October 12 -14, 2005
  • Extended Skyrme interaction and spin fluctuations in dense matter

    Extended Skyrme interaction and spin fluctuations in dense matter

    & Neut. matter)‏ Ferromagnetic phase diagram: G & G' Landau parameters and Instabilities Extension of Skyrme EDF already considered We need another kind of correction to Skyrme energy density functionals New correction terms which may not changre good properties of...