1. PRE Lesson 2.1 What is a Function? Objectives: To review domain. To understand function notation. To understand how to evaluate functions and piecewise functions. To understand the difference quotient.

2. 1. 2. ANSWERS State the domain 3. Simplify

3. Check Homework

5. 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 841 900 1 2 4 8 16 32 64 128 256 512 Quiz Time

6. DOMAIN (RECALL) domain of a function is the values of the independent variables.

7. FUNCTION F(X) = Y A function is a relationship between two variables such that each value of the first variable is paired with exactly one value of the second variable.

8. Evaluate: a)f(3) b)f(-2) c)f( )

9. PIECEWISE FUNCTION A piecewise function is defined by different formulas on different parts of the domain.

10. Ex 2. A cell phone plan costs $39 a month. The plan includes 400 free minutes and charges 20¢ for each additional minute. The monthly charges are a function of the number of minutes used, given by Find C(100), C(400), and C(480)

11. a) f(-5) b) f(3) c) f(0) d) f(1)

12. Ex 4. Evaluate f(x) = 3x – 1 at the following values. a) f(a) b) f(a + h) c)

14. Classwork: Book: pg.155, 14,24,34,44,54,66