1 / 12

Functions

Tables and Graphs Chapter 2.4. Functions. In a function…. Choose whichever definition your prefer to copy down:. Each dependent variables relates to exactly one independent variable. With every input there is one output. For every x , there is one (and only one) y. In functions:.

luyu
Télécharger la présentation

Functions

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. Tables and Graphs Chapter 2.4 Functions

  2. In a function… Choose whichever definition your prefer to copy down: • Each dependent variables relates to exactly one independent variable. • With every input there is one output. • For every x, there is one (and only one) y.

  3. In functions: You can have different inputs with the same output, but you cannot have the same input with two or more outputs. Input Output Input Output NOT a FUNCTION FUNCTION

  4. Think of it like a soda machine: Input Output In a function, you put one value in, and you get something else out.

  5. Think of it like a soda machine: Input Output If you press buttons 1, 2, or 3 you will get the same output (Pepsi) because that is how the machine is designed.

  6. Think of it like a soda machine: However, if you press the same button, and two different sodas came out, you would know the machine was broken. It is not functioning correctly. Input Output

  7. Recognizing Functions in Tables: 1. 2. 3. FUNCTION NOT FUNCTION

  8. Functions in Graphs: If there can only be one output (y) for every input (x) then the graph cannot look like: y Does a graph pass the “vertical line test”? x

  9. Recognizing Functions in Graphs y y 1. 2. x x NOT A FUNCTION FUNCTION

  10. Each function has a domain and range:Domain: All possible inputs (x’s)Range: All possible outputs (y’s)

  11. Find the range when the domain is… • Plug in the different values into the equation. • Put the answers in a set. If the domain is {-2, 1, 6} what is the range? y = 2x + 3 y = 2(-2) + 3 = -4 + 3 = -1 y = 2(1) + 3 = 2 + 3 = 5 y = 2(6) + 3 =12 + 3 = 15 Range: {-1, 5, 15}

  12. Homework: pg 76-77 (9-21 all, 25-35 odds) • Show work when possible, follow directions completely (answer all parts.) • Notebook Check and Basic Skills Quiz • NEXT CLASS!

More Related