1 / 13

5.3

5.3. Function Rules, Tables, & Graphs. List some pairs of numbers that will satisfy the equation x + y = 4. x = 1 and y = 3 x = 2 and y = 2 x = 4 and y = 0 What about negative numbers? If x = -1 then y = ? y = 5. x + y = 4 What about decimals? If x = 2.6 then y = ?. y = 1.4

nola
Download Presentation

5.3

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. 5.3 Function Rules, Tables, & Graphs

  2. List some pairs of numbers that will satisfy the equation x + y = 4. x = 1 and y = 3 x = 2 and y = 2 x = 4 and y = 0 What about negative numbers? If x = -1 then y = ? y = 5

  3. x + y = 4What about decimals?If x = 2.6 then y = ? y = 1.4 Now, let’s graph the pairs of numbers we have listed.

  4. (1, 3) (2, 2) (4, 0) (-1, 5) (2.6, 1.4) Connect the points on your graph. What does the graph look like? • • • • •

  5. It is a straight line! It is a linear relation. • • What does the line represent? All solutions for the equation x+y=4! Is (3, -1) a solution to this equation? NO! You can check by graphing it or plugging into the equation! • • •

  6. 5.3 – Function Rules, Graphs, Tables A function can be written as: 1) Rule: f(x) = 2x + 3

  7. 5.3 – Function Rules, Graphs, Tables A function can be written as: 2) Table

  8. 5.3 – Function Rules, Graphs, Tables A function can be written as: 3) Graph

  9. 5.3 – Function Rules, Graphs, Tables • Continuous Data – Data where the numbers between any two points have value. Connect the points with a smooth (straight) line. Examples: length, weight and distance.

  10. 5.3 – Function Rules, Graphs, Tables • Discrete Data – Data that involves counting whole numbers. Don’t connect the points. Examples: cars, people and dogs.

  11. 5.3 – Function Rules, Graphs, Tables • Graphing functions – be careful when you connect the points in a function. Some require a straight line, some a curved line. y = |x| + 1 y = x + 1

  12. x y=2x+1 y 0 1 4 Answer Now Let’s review tables!Graph y = 2x + 1 using the domain {0, 1, 4} • Make sure the equation is solved for y. • Create a t-table using the domain values. • Plug in the domain values and solve for the range. • Plot the points and connect them to create the line.

  13. Answer Now Let’s review the graphing calculator!Graph y = 2x + 1 • Select TABLE from the Main Menu • Make sure the equation is solved for y. Type in the right side of the equation. • Select TABL (F6) from the options • Type the domain values and press EXE • Select G-CON from the options. This plots the points and connects them to form the line.

More Related