1. Copyright © 2011 Pearson, Inc. 1.3 Twelve Basic Functions

2. Copyright © 2011 Pearson, Inc. Slide 1.3 - 2 What you’ll learn about What Graphs can Tell Us Twelve Basic Functions Analyzing Functions Graphically … and why As you continue to study mathematics, you will find that the twelve basic functions presented here will come up again and again. By knowing their basic properties, you will recognize them when you see them.

3. Copyright © 2011 Pearson, Inc. Slide 1.3 - 3 The Identity Function

4. Copyright © 2011 Pearson, Inc. Slide 1.3 - 4 The Squaring Function

5. Copyright © 2011 Pearson, Inc. Slide 1.3 - 5 The Cubing Function

6. Copyright © 2011 Pearson, Inc. Slide 1.3 - 6 The Reciprocal Function

7. Copyright © 2011 Pearson, Inc. Slide 1.3 - 7 The Square Root Function

8. Copyright © 2011 Pearson, Inc. Slide 1.3 - 8 The Exponential Function

9. Copyright © 2011 Pearson, Inc. Slide 1.3 - 9 The Natural Logarithm Function

10. Copyright © 2011 Pearson, Inc. Slide 1.3 - 10 The Sine Function

11. Copyright © 2011 Pearson, Inc. Slide 1.3 - 11 The Cosine Function

12. Copyright © 2011 Pearson, Inc. Slide 1.3 - 12 The Absolute Value Function

13. Copyright © 2011 Pearson, Inc. Slide 1.3 - 13 The Greatest Integer Function

14. Copyright © 2011 Pearson, Inc. Slide 1.3 - 14 The Logistic Function

15. Copyright © 2011 Pearson, Inc. Slide 1.3 - 15 Example Looking for Domains One of the functions has domain the set of all reals except 0. Which function is it?

16. Copyright © 2011 Pearson, Inc. Slide 1.3 - 16 Solution One of the functions has domain the set of all reals except 0. Which function is it?

17. Copyright © 2011 Pearson, Inc. Slide 1.3 - 17 Example Analyzing a Function Graphically

18. Copyright © 2011 Pearson, Inc. Slide 1.3 - 18 Solution

19. Copyright © 2011 Pearson, Inc. Slide 1.3 - 19 Quick Review

20. Copyright © 2011 Pearson, Inc. Slide 1.3 - 20 Quick Review Solutions