2. 1.1 Functions

3. What is a function? A function f is a rule that assigns to each element x in a set A exactly one element, called f(x), in a set B

4. Ways to represent a function: Verbally Numerically Visually Algebraically Add six, then cube your answer

5. Piecewise functions are defined by different formulas or rules in different parts of their domain. If if

6. A function is increasing on an interval I if whenever in I A function is decreasing on I if whenever in I

7. Back to Domain and Range: The domain of the function was the set of elements in the first set. If the domain is not stated (implied), the best way to determine the domain of a function (when given the equation) is to look for what DOESNT work. The remaining values which DO work are the domain! Example:

8. Symmetry Even function : A function is EVEN if for EVERY x in its domain, Odd function: A function is ODD if for EVERY x in its domain,

9. Classwork: Activity 1.1 Homework: read 1.1, p 11 – 21 work p 22… # 5, 10, 17, 19, 32, 37, 53, 54