4.2: Logarithmic Functions

Objectives:

• Use properties of logarithmic functions to evaluate logarithmic expressions.
• Graph logarithmic functions.

Example 1 & Student Example 1

Example 2 & Student Example 2

Example 3

Student Example 3

Example 4

Problem Set 4.2:

#2-14 even, 18, 20, 29, 30, 39-44,62,64,70

4.1: Exponential Functions and their Graphs

Objectives:

• Evaluate exponential functions.
• Graph exponential functions.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3

Student Example 3

Problem Set 4.1

#5-10, 18, 20, 45-48, 62, 68

Unit 3 Review Answers

3.4: Systems of Inequalities

Objectives:

• Sketch graphs of inequalities in two variables.
• Solve systems of inequalities.

Example 1

Student Example 1

Example 2

Student Example 2

Problem Set 3.4:

#10, 12, 28, 36, 46, 71

3.3b: Multivariable Linear Systems

Objectives:

• Solve systems that are inconsistent or have infinitely many solutions.
• Solve non-square systems.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3

Problem Set 3.3b:

#20, 22, 26, 28, 51

3.3a: Multivariable Linear Systems

Objectives:

• Solve systems using back substitution.
• Solve systems using Gaussian Elimination.

Gaussian Elimination Dot Diagram

Example 1

3.3a problem set:

#2, 4, 6, 13, 16, 18

3.2: Two Variable Linear Systems

Objectives:

• Solve linear systems by elimination.
• Classify linear systems.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3
*Error: row speed = 5mph, current speed = 3 
(I made a mistake in solving the system)

Student Example 3

Problem set 3.2

#12, 18, 19, 20, 43, 49, 51, 53