1. Equations, Tables and Graphs Graphing Activity

2. Warm UP xy -25 2 04 13 25 234234 12341234 InputOutput Determine if the following relations are functions and be able to explain why or why not 1.2. 3. 4. ( 1, 2) ( 2, 3) ( 3, 2) ( 4, 4)

3. Create a table and a graph from the following equations then determine if it is a function, then determine if it is linear or non-linear 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

4. xyxy -2-5 -4 0-3 1-2 2 LinearYesNo FunctionYesNo (Circle correct response) No repeats in x values # 1

5. xf(x)x -26 5 04 13 22 LinearYesNo FunctionYesNo (Circle correct response) No repeats in x values # 2

6. xyxy -2-4 -7 0-8 1-7 2-4 LinearYesNo FunctionYesNo (Circle correct response) No repeats in x values # 3

7. xyxy -6-5 -3-4 0-3 3-2 6 LinearYesNo FunctionYesNo (Circle correct response) No repeats in x values # 4

8. xy -2 0 1 2 xy -4-2 00 1 -42 LinearYesNo FunctionYesNo (Circle correct response) There are repeats in x values #5

9. xyxy -22 3 04 13 22 LinearYesNo FunctionYesNo (Circle correct response) No repeats in x values # 6

10. xf(x)x -24 3 02 11 20 LinearYesNo FunctionYesNo (Circle correct response) No repeats in x values # 7 Be careful to include enough values to see the shape. Try 3 for x and see y=1. This gives you the classic absolute value V shape

11. xyxy -20 -2 0-4 1-6 2-8 LinearYesNo FunctionYesNo (Circle correct response) No repeats in x values # 8

12. xyxy -21/4 1/2 01 12 24 LinearYesNo FunctionYesNo (Circle correct response) No repeats in x values # 9

13. xyxy -2-8 -5 0-4 1-5 2-8 LinearYesNo FunctionYesNo (Circle correct response) No repeats in x values # 10

14. xy 5 5 5 5 5 xy -25 5 05 15 25 LinearYesNo FunctionYesNo (Circle correct response) No repeats in x values # 11

15. xy -3 xy -2 -3 -30 1 2 LinearYesNo FunctionYesNo (Circle correct response) There are repeats in x values # 12

16. Summary 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. FunctionLinear Yes Yes Yes Yes No Yes No Yes Yes Yes No Yes No Yes No Are there any patterns you see from the equations to help you determine functions and or linear relationships?