Sneak preview

2. Sneak preview • To solve an absolute value equation first isolate the absolute value expression like you would a variable

3. Multi-Step Absolute Value Equations Steps: 1) Isolate the absolute value 2) Rewrite as 2 equations +1 +1 3 I x + 2 I = 9 /3/3 x + 2 = 3 x+2 = -3 x = 1 x = -5

4. Absolute Value Inequalities “<“ is between the two points because when you write as two inequalities you flip the < to >when you make it negative

5. A Model Application Write an absolute value inequality to represent this situation When you set your oven to 350 ° it is within 5° of that temperature.

6. When you transform a function Inside the parentheses translates left and right (opposite of what you think) Outside the parentheses translates up and down (exactly what you think)

8. Use the functions to evaluate the following. Find f(g(-4))

9. YES D:all reals R:y>0 No D:all reals R:all reals x x y y Does the graph represent a function?

10. Do the ordered pairs represent a function? {(3, 4), (7, 2), (0, -1), (-2, 2), (-5, 0), (3, 3)} No, 3 is repeated in the domain. {(4, 1), (5, 2), (8, 2), (9, 8)} Yes, no x-coordinate is repeated.

13. Factor the x-box way Example: Factor 3x2 -13x -10 -5 x (3)(-10)= -30x2 3x 3x2 -15x 2x -15x -13x -10 2x +2 3x2 -13x -10 = (x-5)(3x+2)

16. POLYNOMIALS – DIVIDINGEX – Long division (4x³ -15x² +11x -6) / (x-3) - 3x + 2 4x² R 0 x - 3 4x³ - 15x² + 11x - 6 - ( 4x³ - 12x² ) -3x² +11x - ( -3x² + 9x ) 2x - 6 - ( 2x - 6 ) 0

17. A function is odd if the degree which is greatest is odd and even if the degree which is greatest is even Example: even Example: odd

18. Using the Leading Coefficient to Describe End Behavior: Degree is EVEN • If the degree of the polynomial is even and the leading coefficient is positive, both ends ______________. • If the degree of the polynomial is even and the leading coefficient is negative, both ends ________________. ∞ ∞ -∞ -∞

19. Using the Leading Coefficient to Describe End Behavior: Degree is ODD • If the degree of the polynomial is odd and the leading coefficient is positive, the graph falls to the __________ and rises to the ______________. • If the degree of the polynomial is odd and the leading coefficient is negative, the graph rises to the _________ and falls to the _______________. -∞ ∞ ∞ -∞

20. THINK is the area of this rectangle (x-2) is the length of this side what binomial represents the other side

21. Quadratic Formula Quadratic Equation

22. You can do things you think you can’t do

23. #8 Simplify

27. Simplify · =

28. #2 Solve Standard Form

35. Log form………...exponential form logbx = n   means   bn = x. 23 = 8. log28=3

39. Growth Decay