1 / 17

Agenda (Day 3)

Agenda (Day 3). Function notation: domain, Range, Independent/ Depentent Discrete Functions Linear vs Non-Linear Discrete vs. Continuous 1.5 Packet practice?. Algebra 2 Lesson ON Core 1-5. Check: On Core 1-3 Objective : Use function Notation, and state the domain and range. Assignments.

shanta
Download Presentation

Agenda (Day 3)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Agenda (Day 3) Function notation: domain, Range, Independent/Depentent Discrete Functions Linear vs Non-Linear Discrete vs. Continuous 1.5 Packet practice?

  2. Algebra 2Lesson ON Core 1-5 Check: On Core 1-3 Objective: Use function Notation, and state the domain and range.

  3. Assignments Classwork: ON Core Practice 1-5 Homework: Algebra 2 Online

  4. ObjectivesThe student will be able to: 1. To determine if a relation is a function. 2. To find the value of a function.

  5. Functions A function is a relation in which each element of the domain is paired with exactly one element of the range. Another way of saying it is that there is one and only one output (y) with each input (x). f(x) y x

  6. Function Notation Input Name of Function Output

  7. 2 3 5 4 3 0 2 3 f(x) f(x) f(x) f(x) Determine whether each relation is a function. 1. {(2, 3), (3, 0), (5, 2), (4, 3)} YES, every domain is different!

  8. 1 4 5 5 6 6 9 3 1 2 f(x) f(x) f(x) f(x) f(x) Determine whether the relation is a function. NO, 5 is paired with 2 numbers! 2. {(4, 1), (5, 2), (5, 3), (6, 6), (1, 9)}

  9. Answer Now Is this relation a function?{(1,3), (2,3), (3,3)} • Yes • No

  10. Vertical Line Test (pencil test) If any vertical line passes through more than one point of the graph, then that relation is not a function. Are these functions? FUNCTION! FUNCTION! NOPE!

  11. Vertical Line Test FUNCTION! NO! NO WAY! FUNCTION!

  12. Answer Now Is this a graph of a function? • Yes • No

  13. Given f(x) = 3x - 2, find: = 7 1) f(3) 2) f(-2) 3(3)-2 3 7 = -8 3(-2)-2 -2 -8

  14. Given h(z) = z2 - 4z + 9, find h(-3) (-3)2-4(-3)+9 -3 30 9 + 12 + 9 h(-3) = 30

  15. Answer Now Given g(x) = x2 – 2, find g(4) • 2 • 6 • 14 • 18

  16. Answer Now Given f(x) = 2x + 1, find-4[f(3) – f(1)] • -40 • -16 • -8 • 4

  17. Closure • Bob buys Ravens tickets off the StubHub. There is a 10% tax on the cost of the tickets plus a $15 transaction fee. • A) Write an expression for the cost of the tickets for each person in a group of 5. • B) Simplify the expression. • C) Define what the variable represents and identify the unit of the expression.

More Related