1. Section 1.1 Four Ways to Represent a Function September 4, 2008 AP Calculus BC Berkley High School

2. Calculus, Section 1.12 What Is A Function? A Function is a relationship  For every item in the Domain  There is exactly one item in Range

3. Calculus, Section 1.13 What is a function? We can use the Vertical Line Test to find out if it is a function

4. Calculus, Section 1.14 Domain & Range Often we think of a function in the form: f(x) = some expression with x We think of the Domain as the possible values of x We think of the Range as the possible values of f(x) Sometimes we think of y is the same of f(x)

5. Calculus, Section 1.15 What is the Domain?

6. Calculus, Section 1.16 What is the Domain?

7. Calculus, Section 1.17 What is the Domain?

8. Calculus, Section 1.18 What is the Domain?

9. Calculus, Section 1.19 What is the Domain?

10. Calculus, Section 1.110 What is the Domain?

11. Calculus, Section 1.111 What is the Range?

12. Calculus, Section 1.112 Variations of f(x)

13. Calculus, Section 1.113 Piecewise Definition

14. Calculus, Section 1.114 Even Functions Have symmetry across the y-axis Usually polynomials with even powers f(x) = f(-x)

15. Calculus, Section 1.115 Odd Functions Have symmetry across the origin Usually polynomials with odd powers f(x) = -f(-x)

16. Calculus, Section 1.116 Assignment Section 1.1: 1-51 odd