Warmup: Take out homework.

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

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

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

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

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

Write an absolute value function for the following piecewise functions:

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

Classwork: p. 32-34 #1-10

Additional Review: p. 32-34 #1-10 [-4,7)

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

Additional Review: p. 32-34 #1-10 (-7,3)

Additional Review: p. 32-34 #1-10

Additional Review: p. 32-34 #1-10 (2,8] [-3,2)

Additional Review: p. 32-34 #1-10

Additional Review: p. 32-34 #1-10

Classwork: p. 32-34 #1-10 Homework: Study for TEST