6.6 & 6.7: A Library of Functions & Transformations

Objectives:

• Define and create a library of "parent functions".
• Sketch functions using
• vertical and horizontal shifts
• reflections
• non-rigid transformations (stretches/compressions)

Example 1 & student example 1


Example 2


student example 2


Example 3 & student example 3


Example 4 & student example 4


Example 5 & student example 5



Example 6


Example7


problem sets 6.6/6.7 (in class)

6.6 # 29, 30, 43, 44, 53-60

6.7 # 6, 10, 12, 19-22, 44-46, 51, 52, 54

6.5: Analyzing Graphs of Functions

Objectives:

• Find zeros of functions.
• Determine intervals on which functions are increasing/decreasing (find relative max/min values).
• Find the average rate of change of functions

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Example 1

Student Example 1

Example 2

Student Example 2

Example 3 & Student Example 3

Example 4 and Student Example 4

Problem Set 6.5

# 1-12, 16-24 even, 25, 31-33, 71, 73,88

6.4: Functions

Objectives:

• Use function notation.
• Evaluate functions.
• Find the domain of functions.

Example 1

Example 2

Student Example 1

Example 3

Student Example 2

Example 4 + Student Example 3

Example 5

Problem set 6.4
#2-10 even, 16-24 even, 29, 32, 34, 37, 57-63 odd

6.3: Linear Equations in Two Variables

Objectives:

•  Write linear equations in two variables.
• Use equations in two variables to graph linear equations.

Example 1


Student Example 1


Example 2


Student Example 2


Problem set 6.3:
# 9-19 odd, 41, 43, 61, 69, 71

6.2: Graphs of Equations

Objectives:

• Sketch the graph of an equation.
• Find equations and sketch graphs of circles.

Example 1


Student Example 1


Example 2


Student Example 2


problem set 6.2
#1-7 odd, 18, 19, 59-69 odd

6.1: Rectangular Coordinates

Objectives:

• Plot points in the Cartesian coordinate plane.
• Apply the midpoint and distance formulas.

Example 1


Student Example 1


Example 2


Student Example 2


Example 3


Student Example 3


Problem set 6.1:
##2-20 even, 21, 32, 34

Unit 5 Review + Answers

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