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Graph functions from function tables Objective Graph functions from function tables Example 7-2d

A pair of numbers used to locate a point in a coordinate system Vocabulary Ordered pair A pair of numbers used to locate a point in a coordinate system Example 7-2d

Example 1 Graph a Function Example 2 Make a Function Table for a Graph Lesson 7 Contents

Draw a function table with 4 columns and 5 rows Make a function table for the rule Use input values of –4, 0, and 4. Then graph the function. Draw a function table with 4 columns and 5 rows Input Rule Output (x, y) x x + 2 y (x, y) Label columns The input is x The rule is with the input The output is y Ordered pairs are (x, y) 1/2 Example 7-1a

Put input that is given into table Make a function table for the rule Use input values of –4, 0, and 4. Then graph the function. Put input that is given into table Input Rule Output (x, y) x x + 2 y (x, y) The rule is x + 2 so replace x with the input -4 -4 + 2 -2 (-4, -2) 0 + 2 2 ( 0, 2) Add 2 + input in each row to get output 4 4 + 2 6 ( 4, 6) Make the ordered pairs from the input and output 1/2 Example 7-1a

Then graph the function. (x, y) Then graph the function. (-4, -2) ( 0, 2) Answer: ( 4, 6)   (4, 6) Graph each ordered pair and label Draw a line through the points (0, 2) NOTE: The function table and graph are part of the answer (-4, -2) 1/2 Example 7-1b

Make a function table for the rule Use input values of –2, 1, and 5 Make a function table for the rule Use input values of –2, 1, and 5. Then graph the function. Answer: Input Rule Output (x, y)   x x - 3 y (x, y) (5, 2) - 2 - 2 - 3 - 5 (-2, -5) 1 1 - 3 - 2 ( 1, -2) 5 5 - 3 2 ( 5, 2) (1, -2) (-2, -5) 1/2 Example 7-1d

Make a function table for the graph. Then determine the function rule. Draw a function table with 4 columns and 6 rows NOTE: There are 4 points on the graph given 2/2 Example 7-2a

Make a function table for the graph. Then determine the function rule. Input Rule Output (x, y) x Label columns The input is x The rule will be determined with a pattern between the input and output 2/2 Example 7-2a

Make a function table for the graph. Then determine the function rule. Input Rule Output (x, y) x y (x, y) -4 8 (-4, 8) The output is y -2 4 (-2, 4) Ordered pairs are (x, y) (0, 0) Using each point, place the x and y in the function table 2 -4 (2, -4) 2/2 Example 7-2a

Make a function table for the graph. Then determine the function rule. Input Rule Output (x, y) x -2x y (x, y) -4 8 (-4, 8) Determine the pattern between x and y -2 4 (-2, 4) (0, 0) x is multiplied by -2 2 -4 (2, -4) Put rule in function table 2/2 Example 7-2a

Make a function table for the graph. Then determine the function rule. Answer: Input Rule Output (x, y) x -2x y (x, y) -4 -2(-4) 8 (-4, 8) Complete function table -2 -2(-2) 4 (-2, 4) -2(0) (0, 0) 2 -2(2) -4 (2, -4) 2/2 Example 7-2a

Make a function table for the graph. Then determine the function rule.   Answer: (3, 1) Input Rule Output (x, y) (2, 0) x x - 2 y (x, y) (0, -2) (1, -1) 0 - 2 -2 0, -2) 1 1 - 2 -1 (1, -1) 2 2 - 2 (2, 0) 3 3 - 2 1 (3, 1) 2/2 Example 7-2a

Assignment Lesson 9:7 Graphing Functions 370-372 End of Lesson 7