1. Function Tables and Graphs

2. Function A function is when each input (x-value) corresponds to exactly one output (y- value) In other words, when you substitute (x) into an equation there is only one possible answer (y)

3. Let me show you what I mean Let’s use the function y = 2x + 5 y = 2(0) + 5 if x = 0 y = 5 xy 05 2 5 10 20

4. Fill in the function table for the function y = 4x – 3 xy 0 2 5 10 20

5. Fill in the function table for the function y = 4x – 3 xy 0-3 25 517 1037 2077

6. Fill in the function table for the function y = -3x + 5 xy 0 2 5 -2 -5

7. Fill in the function table for the function y = -3x + 5 xy 05 2 5-10 -211 -520

8. xy 0 2 5 -2 -5

9. Graphing a Function from a Function Table When given a function you can graph it by creating a function table and plotting the points you generate. You can pick any points for x and substitute them into the function for the output y You should plot at least 5 points to get a good idea of what your graph looks like: 0, two positive numbers, and two negative numbers.

10. Let’s Use the Functions We Worked With Earlier y = 2x + 5 xy 0 2 5 -2 -5

11. Let’s Use the Functions We Worked With Earlier y = 2x + 5 xy 05 29 515 -21 -5

12. y = 4x – 3 xy 0 2 5 -2 -5

13. y = 4x – 3 xy 0-3 25 517 -2-11 -5-23 Two of our points go way off our graph. It helps to show how steep the slope is.

14. y = -3x + 5 xy 0 2 5 -2 -5

15. xy 0 2 4 -2 -4

16. Closure With a partner, graph the function y = -3x + 3

17. y = -3x + 3