1. Algebra Ch4 Functions Review 4.1-3 New 4.4-6

2. Write this down: Function – a relationship between variables in which each value of the input variable is associated with a unique value of the output variable. Can be shown as graphs, tables, equations, or words, sets of ordered pairs.

3. Linear Functions Functions that can be defined by linear equations Linear equations are first-degree equations – no powers of 2 or greater. Slope-intercept form: y = mx + b Function notation: f(x) = mx + b Sample: when m = 2 and b = 3, f(x) = 2x + 3

4. f(x) = 2x + 3(x, f(x)) f(0) = 2(0) + 3 = 0 + 3 = 3(0, 3) f(1) = 2(1) + 3 = 2 + 3 = 5(1, 5) For each x value, there is only one f(x) value. Not a function: x = k because there is more than one value.If x = 3, then y can be any + or – value. A vertical line is not a function!

5. 4.1 We have already used graphs to relate 2 quantities. Page 252/8,9,10 4.2 Patterns & Linear Functions. – A dependent variable changes in response to another variable, the independent variable. – Input – independent variable – Output – dependent variable – 257/problem 2. As the number of photos (independent variable) increases, the amount of memory (dependent variable)decreases.

6. 4.3 Patterns & Nonlinear Functions See page 262.

7. Linear Function – its graph is a nonvertical line or part of a nonvertical line Nonlinear Function – its graph is not a line or part of a line

8. 4.4: graphing of a function rule Continuous graph – unbroken Discrete graph – composed of distinct isolated points

9. Page 270. Problem 1

10. Page 271, problem 2

11. Page 272, problem 3

12. Assignment: 274/9-21, 38-54evens

16. Day2, 4.4, page 273, prob. 4 Graphing nonlinear function rules A. y = lXl – 4 B. y = x 2 + 1

17. 273, problem 4 #4. Graph: y = x 3 + 1 Assignment: 275/23-31, 39-53odd

18. Nov. 29 Assignment: 283/8-14,16-18