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Graphing Functions

Graphing Functions. 6.2.1.2 Represent the relationship between two varying quantities with function rules, graphs, and tables; translate between any to of these representations. 12.6 Notes. Graphing Functions. Make a T-chart Graph each ordered pair ( x,y )

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Graphing Functions

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  1. Graphing Functions 6.2.1.2 Represent the relationship between two varying quantities with function rules, graphs, and tables; translate between any to of these representations.

  2. 12.6 Notes Graphing Functions • Make a T-chart • Graph each ordered pair (x,y) • Connect the dots to draw the line • When finding the equation of a line… • Make a T-chart of the points • Compare how x and y are related

  3. I can… • Graph linear functions on a coordinate plane. • Determine the rule of a table. Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

  4. PLOTTING POINTS Remember when plotting points you always start at the origin. Next you go left (if x-coordinate is negative) or right (if x-coordinate is positive. Then you go up (if y-coordinate is positive) or down (if y-coordinate is negative) B C A D Plot these 4 points A (3, -4), B (5, 6), C (-4, 5) and D (-7, -5)

  5. Linear Equation An equation for which the graph is a STRAIGHT line

  6. y x Linear Not Linear What is a Linear Equation? A linear equation is an equation whose graph is a LINE.

  7. Steps to GRAPHING 1.) MAKE A T-CHART 2.) GRAPH EACH ORDERED PAIR 3.) CONNECT THE DOTS TO DRAW THE LINE

  8. Linear Equation Graph: y = x + 3

  9. Graphing Step 1: ~ T-Chart ~ Choose some values for x, and make a t-chart

  10. Graphing Step 2: Find solutions using table y = x + 3

  11. Graphing Step 2: Find solutions using table y = x + 3

  12. Graphing Step 2: Find solutions using table y = x + 3

  13. Graphing Step 2: Find solutions using table y = x + 3

  14. Graphing Step 2: Find solutions using table y = x + 3 Create these ordered pairs (0,3) (1,4) (2,5) (3,6)

  15. Graphing Step 3: Graph the points from the table (0,3) (1,4) (2,5) (3,6)

  16. Graphing Step 4: Draw a line thru the points

  17. Graphing Step 4: Draw a line to connect them So by looking at this line we can assume that (5,8) is a solution? What other points can we conclude is a solution??? y = x +3

  18. y x Graphing a Line Let’s try this one: y = x + 0.5 Make a Table of values 1.5 y = 1 + 0.5 = 1.5 2 y = 1.5 + 0.5 = 2 2.5 y = 2 + 0.5 = 2.5 3 y = 2.5 + 0.5 = 3

  19. Try These • Make a table for each function using x-values 1, 2, 3, 4, 5 and then graph the function: • y = 3 + x

  20. Try These • Make a table for each function using x-values 0, 1, 2, 3, and 4 then graph the function: • y = 3x

  21. y x Finding the Equation of a Line Make a Table of values 1 y = x 2 y = x 3 y = x 4 y = x

  22. y x Finding the Equation of a Line Make a Table of values 0 y = x - 1 1 y = x - 1 2 y = x - 1 3 y = x - 1

  23. 12.6 Notes Graphing Functions • Make a T-chart • Graph each ordered pair (x,y) • Connect the dots to draw the line • When finding the equation of a line… • Make a T-chart of the points • Compare how x and y are related

  24. I can… • Graph linear functions on a coordinate plane. • Determine the rule of a table. Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

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