1. Click the mouse button or press the Space Bar to display the answers.
Transparency 7

2. Splash Screen

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

4. 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

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

6. 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

7. 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

8. 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

9. 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
- 5
(-2, -5) 1
1 - 3
- 2
( 1, -2) 5
5 - 3 2
( 5, 2)
(1, -2)
(-2, -5)
1/2
Example 7-1d

10. 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

11. 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

12. 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

13. 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

14. 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

15. 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

16. Assignment
Lesson 9:7
Graphing Functions
End of Lesson 7