1. Warmup:
Take out homework.

2. Homework Check: p. 40 (0,) Or (0,-1) Or (0,4) (0,3 x-int (-3,0)) 1)
-3)

3. M3U1D8
Review
Objective:
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
Essentials: Identify features of a function, function type, and the equation of the function.

4. Write a Piecewise Functions for the following equations:
𝑓(𝑥) = 4|𝑥 +3|−1
𝒇 𝒙 = −𝟒 𝒙+𝟑 −𝟏, 𝒙<−𝟑 𝟒 𝒙+𝟑 −𝟏, 𝒙≥−𝟑

5. Write a Piecewise Function for the following equations:
𝑔(𝑥) = |(𝑥 +5)2 −1|
𝒈 𝒙 = & 𝒙+𝟓 𝟐 −𝟏, 𝒙<−𝟔, 𝒙>−𝟒 &−[ 𝒙+𝟓 𝟐 −𝟏], −𝟔≤𝒙≤−𝟒

6. 𝒉 𝒙 = & (𝒙−𝟐 𝟐 −𝟗]−𝟐, 𝒙<−𝟏, 𝒙>𝟓 &− (𝒙−𝟐 𝟐 −𝟗]−𝟐, −𝟏≤𝒙≤𝟓
Write a Piecewise Function for the following equations:
ℎ(𝑥) = |(𝑥 −2)2 −9|−2
𝒉 𝒙 = & (𝒙−𝟐 𝟐 −𝟗]−𝟐, 𝒙<−𝟏, 𝒙>𝟓 &− (𝒙−𝟐 𝟐 −𝟗]−𝟐, −𝟏≤𝒙≤𝟓

7. t(𝑥) = -2|𝑥 +2|+2 𝒕 𝒙 = &−𝟐 𝒙+𝟐 +𝟐, 𝒙>−𝟐 &𝟐 𝒙+𝟐 +𝟐, 𝒙≤−𝟐
Write an absolute value function for the following piecewise functions:
𝒕 𝒙 = &−𝟐 𝒙+𝟐 +𝟐, 𝒙>−𝟐 &𝟐 𝒙+𝟐 +𝟐, 𝒙≤−𝟐
t(𝑥) = -2|𝑥 +2|+2

8. Write an absolute value function for the following piecewise functions:

9. Write an absolute value function for the following piecewise functions:
M 𝒙 = (𝒙−𝟐) 𝟐 +𝟕, −,−𝟏 𝒂𝒏𝒅[𝟓,) −(𝒙−𝟐) 𝟐 +𝟏𝟏, −𝟏,𝟓
M(𝑥) = |(𝑥 -2)2 −2| + 9

10. Classwork:
p #1-10

11. Additional Review:
p #1-10
[-4,7)

12. Additional Review: p. 32-34 #1-10 [-4,5] (-2,0) [-4,-2)
Constant: (0,5]

13. Additional Review:
p #1-10
(-7,3)

14. Additional Review:
p #1-10

15. Additional Review:
p #1-10
(2,8]
[-3,2)

16. Additional Review:
p #1-10

17. Additional Review:
p #1-10

18. Classwork:
p #1-10
Homework:
Study for TEST