1. Zero and Negative Exponents
Algebra

2. Exponents Exploration
Get a sheet of graph paper, and make a large graph. x-axis from -5 to +5, y-axis from -100 to +100
Have colored pencils
Exponents

3. Exponents In one color graph the following points for the function x y1 2 3 4
Exponents

4. Exponents

5. In a different color graph the following points for the functionx y 1 2 3 4 5 6
Exponents

6. Exponents

7. Look real close, both curves are focusing on the same point for x=zero.
What is that value?
Exponents

8. Here are the two graphs zoomed in from a computer
Exponents

9. Exponents They both cross at ONE
We completed this for base values of two and three, would the same hold true for other base values?
Exponents

10. For negative exponential values, we continue the smooth graph.
Exponents

11. Exponents

12. Example

13. A simplified answer NEVER includes a negative exponent
Exponents

14. Example

15. Example

16. Example

17. A common mistake mixes up negative signs.
Warning

18. Example

19. Example

20. Practice Problems

21. Practice Problems

22. Practice Problems

23. Practice Problems

24. Practice Problems

25. Practice Problems

26. Practice Problems

27. Practice Problems

28. Practice Problems

29. Pages 397 – 398
18 – 54 even, 78, 79
Homework