Unit 7 Review answers

  Unit 7 Review Answers

Unit 6 Review answers

  Unit 6 Review Answers

Unit 5 Review answers

  Unit 5 Review Answers

Unit 4 Review Answers

  Unit 4 Review answers

Unit 3 Review answers

  Unit 3 Review Answers

Unit 2 Review answers

  Unit 2 Review Answers

Unit 1 Review answers

  Unit 1 Review Answers

7.2: Properties of Exponential Functions

Objectives:

• Identify the roles of the different parts of an exponential function.
• Define the natural exponential function.

Example 1

Student example 1

Example 2

Student Example 2

Problem set 7.2:

#1-14 all, 16-26 even

7.1: Modeling with exponential functions

Objectives:

• Model exponential growth.
• Model exponential decay.

Example 1

Student example 1

Example 2

Student example 2

Problem set 7.1

#1-24

Unit 6 review solutions

  Unit 6 Review Solutions

6.10: Mathematical Modeling

Objectives

• Write mathematical models for direct, inverse, and joint variation.

Example 1


Example 2


Example 3


Example 4


Problem Set 6.10
#25-29, 55-58

6.9: Inverse Functions

Objectives:

• Find inverse functions algebraically.
• Find inverse functions graphically.

Example 1


Student Example 1


Example 2


Student Example 2


6.9 Problem set:
# 2-6 even, 19 - 27, 39, 42

6.8: Combinations of Functions

Objectives:

• Combine functions arithmetically.
• Find the composition of two functions.

Example 1

Student example 1

Example 2

Example 3

Example 4

Problem set 6.8 

# 6-12 even, 13-23 odd, 32,33,36,37,45,46,58

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

Click the image below to download the Power-Point intro notes for this section:

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

  Unit 5 Review + Answers by  

5.7: Right Triangle Trig

Objectives:

• Solve right triangles.

Example 1

Student example 1

Example 2

Student example 2

Problem set 5.7:

ALL

5.5: The Tangent Function

Objectives:

• Sketch graphs of the tangent function.

Example 1:

Student example 1


Example 2


Student example 2


Problem set 5.5
#4-36 multiples of 4

5.4: The Cosine Function

Objectives:

• Identify properties of the Cosine function. 
• Sketch Cosine curves.

Example 1

Student Example 1

Problem set 5.4

# 3-33 multiples of 3

5.3: The Sine Function

Objectives:

üIdentify properties of the sine function.

ü Sketch sine curves.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3

Student Example 3

Problem set 5.3

#1-29

5.2: Radian Measure

Objectives:

• Convert between degree and radian measure.
• Find arclength.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3 & Student Example 3

Problem set 5.2

#1-45 odd

5.1b: The Unit Circle

Objectives:

• Identify coordinates on the Unit Circle.

Example 1

Student Example 1

Example 2

Student Example 2

Problem set 5.1b

#51-65 odd, 66-71

5.1a: Angles and Special Triangles

Objectives:

• Identify angles in standard position.
• Identify and apply special triangles.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3 & Student Example 3

Example 4 & Student Example 4

Problem set 5.1a

#2-50 even,  special triangles #1-15 all