1. Warm UpFeb. 4 th 1. Determine whether each function is one-to-one. a) 2x 3 – 3xb) 6x + 14c) x 2 + 7 x – 1 2. Find the inverse relation of y = 6x + 5 3x – 1 3. The following functions are inverses. Verify algebraically.

2. Homework Questions?

3. Introduction to Sequences and Series

4. Consider the sequence 2, 5, 8, 11, 14, … Notation and vocabulary.

5. Your Turn. Consider the sequence ¼, - ½, 1, -2, … 1)What is the value of A 4 ? 2)If A n = -8, n = ___

6. Explicit Equation…. A n = 3n - 4 A n = 3 + (-1) n

7. Factorial notation… 3! = 5! =

8. Write the first five terms of the sequence.

9. Recursive Equations. A n+1 = A n + 5, A 1 = -2 A k+1 = -2A k, A 1 = 3 A k+2 = A k+1 + 2A k, A 1 = ½, A 2 = 1

10. Sigma Notation for a Series…

11. Using your calculator to evaluate…

12. Functions Trashketball

13. 1. Write an equation of the line that contains (3, 4) and has a slope of 2. (slope–intercept form) 2. Write an equation of the line that contains (-2, 8) and (7, -19). (point-slope form)

14. 3. Find y so that the line containing (-1, y) and (9, -8) has a slope of -3/5. 4. Patrick’s doll-making business has weekly fixed costs of $350. If the cost for materials is $4.70 per doll and his total weekly costs average $500, how many dolls does Patrick make each week.

15. CALCULATOR The data below shows the average SAT math score for several years. 5. Let x = 0 represent 1990, write a linear equation for the average SAT math score in terms of years since 1990. 6. Use the equation to predict the average SAT math score in 2006. Year199519971998199920002001200220032004 Score506511512511514 516519518

16. 7. The Buster Shoe Company can make 225 pairs of a certain shoe for $3775 and can make 415 pairs of the same shoe for $6625. a) Find an equation to model the cost C of making x pairs of shoes b) Interpret the slope as a rate of change.

19. 12. Name the parent function for each. A)B) C)D)

20. Describe the transformations from the parent graph. 13. y = 2x 2 – 5 14. y = -|x + 7| 15.

21. 16. Suppose the point (1, -9) lies on a graph. Determine another point… a) If the graph is an even function. b) If the graph is an odd function. c) That would lie on the inverse of the function.

22. 17. State whether the function is even, odd or neither. Prove algebraically. y = 3x 2 – 4|x|

24. 20. Sketch the graph and give the domain and range. a) b)

25. Write an equation for the graph shown below.