Unit 5

Exponential Functions and Equations

Section A

Growing and Shrinking

1

Growing and Shrinking

Let’s calculate exponential change.

2

Representations of Growth and Decay

Let’s revisit ways to represent exponential change.

3

Understanding Rational Inputs

Let’s look at exponential functions where the input values are not whole numbers.

4

Representing Functions at Rational Inputs

Let’s find how quantities are growing or decaying over fractional intervals of time.

5

Changes Over Rational Intervals

Let’s look at how an exponential function changes when the input changes by a fractional amount.

6

Writing Equations for Exponential Functions

Let’s decide what information we need to write an equation for an exponential function.

7

Interpreting and Using Exponential Functions

Let’s explore the ages of ancient things.

Section A

Growing and Shrinking

1

Growing and Shrinking

Let’s calculate exponential change.

2

Representations of Growth and Decay

Let’s revisit ways to represent exponential change.

3

Understanding Rational Inputs

Let’s look at exponential functions where the input values are not whole numbers.

4

Representing Functions at Rational Inputs

Let’s find how quantities are growing or decaying over fractional intervals of time.

5

Changes Over Rational Intervals

Let’s look at how an exponential function changes when the input changes by a fractional amount.

6

Writing Equations for Exponential Functions

Let’s decide what information we need to write an equation for an exponential function.

7

Interpreting and Using Exponential Functions

Let’s explore the ages of ancient things.

Section B

Missing Exponents

8

Unknown Exponents

Let’s find unknown exponents.

9

What Is a Logarithm?

Let’s learn about logarithms.

10

Interpreting and Writing Logarithmic Equations

Let’s look at logarithms with different bases.

Section B

Missing Exponents

1

Unknown Exponents

Let’s find unknown exponents.

2

What Is a Logarithm?

Let’s learn about logarithms.

3

Interpreting and Writing Logarithmic Equations

Let’s look at logarithms with different bases.

4

Evaluating Logarithmic Expressions

Let’s find some logs!

Section C

The Constant

12

The Number

Section C

The Constant

1

The Number

Let’s learn about the number .

2

Exponential Functions with Base

Let’s look at situations that can be modeled using exponential functions with base .

3

Solving Exponential Equations

Let’s solve equations using logarithms.

Section D

Logarithmic Functions and Graphs

15

Using Graphs and Logarithms to Solve Problems (Part 1)

Let’s use graphs and logarithms to solve problems.

16

Using Graphs and Logarithms to Solve Problems (Part 2)

Let’s compare exponential functions by studying their graphs.

17

Logarithmic Functions

Let’s graph log functions.

Section D

Logarithmic Functions and Graphs

1

Using Graphs and Logarithms to Solve Problems (Part 1)

Let’s use graphs and logarithms to solve problems.

2

Using Graphs and Logarithms to Solve Problems (Part 2)

Let’s compare exponential functions by studying their graphs.

3

Logarithmic Functions

Let’s graph log functions.

Section E

Let's Put It to Work

18

Applications of Logarithmic Functions

Let’s measure acidity levels and earthquake strengths.

Section E

Let's Put It to Work

1

Applications of Logarithmic Functions

Let’s measure acidity levels and earthquake strengths.

Section A

Growing and Shrinking

1

Growing and Shrinking

Let’s calculate exponential change.

2

Representations of Growth and Decay

Let’s revisit ways to represent exponential change.

3

Understanding Rational Inputs

Let’s look at exponential functions where the input values are not whole numbers.

4

Representing Functions at Rational Inputs

Let’s find how quantities are growing or decaying over fractional intervals of time.

5

Changes Over Rational Intervals

Let’s look at how an exponential function changes when the input changes by a fractional amount.

6

Writing Equations for Exponential Functions

Let’s decide what information we need to write an equation for an exponential function.

7

Interpreting and Using Exponential Functions

Let’s explore the ages of ancient things.

Section D

Logarithmic Functions and Graphs

15

Using Graphs and Logarithms to Solve Problems (Part 1)

Let’s use graphs and logarithms to solve problems.

16

Using Graphs and Logarithms to Solve Problems (Part 2)

Let’s compare exponential functions by studying their graphs.

17

Logarithmic Functions

Let’s graph log functions.

Section E

Let's Put It to Work

18

Applications of Logarithmic Functions

Let’s measure acidity levels and earthquake strengths.

Section C

The Constant

12

The Number

Section B

Missing Exponents

8

Unknown Exponents

Let’s find unknown exponents.

9

What Is a Logarithm?

Let’s learn about logarithms.

10

Interpreting and Writing Logarithmic Equations

Let’s look at logarithms with different bases.

Let’s learn about the number .

13

Exponential Functions with Base

Let’s look at situations that can be modeled using exponential functions with base .

14

Solving Exponential Equations

Let’s solve equations using logarithms.

11

Evaluating Logarithmic Expressions

Let’s find some logs!

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Exponential Functions and Equations

Unit 5 Resources

Growing and Shrinking

Growing and Shrinking

Representations of Growth and Decay

Understanding Rational Inputs

Representing Functions at Rational Inputs

Changes Over Rational Intervals

Writing Equations for Exponential Functions

Interpreting and Using Exponential Functions

Growing and Shrinking

Growing and Shrinking

Representations of Growth and Decay

Understanding Rational Inputs

Representing Functions at Rational Inputs

Changes Over Rational Intervals

Writing Equations for Exponential Functions

Interpreting and Using Exponential Functions

Missing Exponents

Unknown Exponents

What Is a Logarithm?

Interpreting and Writing Logarithmic Equations

Missing Exponents

Unknown Exponents

What Is a Logarithm?

Interpreting and Writing Logarithmic Equations

Evaluating Logarithmic Expressions

The Constant

The Number

The Constant

The Number

Exponential Functions with Base

Solving Exponential Equations

Logarithmic Functions and Graphs

Using Graphs and Logarithms to Solve Problems (Part 1)

Using Graphs and Logarithms to Solve Problems (Part 2)

Logarithmic Functions

Logarithmic Functions and Graphs

Using Graphs and Logarithms to Solve Problems (Part 1)

Using Graphs and Logarithms to Solve Problems (Part 2)

Logarithmic Functions

Let's Put It to Work

Applications of Logarithmic Functions

Let's Put It to Work

Applications of Logarithmic Functions

Growing and Shrinking

Growing and Shrinking

Representations of Growth and Decay

Understanding Rational Inputs

Representing Functions at Rational Inputs

Changes Over Rational Intervals

Writing Equations for Exponential Functions

Interpreting and Using Exponential Functions

Logarithmic Functions and Graphs

Using Graphs and Logarithms to Solve Problems (Part 1)

Using Graphs and Logarithms to Solve Problems (Part 2)

Logarithmic Functions

Let's Put It to Work

Applications of Logarithmic Functions

The Constant

The Number

Missing Exponents

Unknown Exponents

What Is a Logarithm?

Interpreting and Writing Logarithmic Equations

Exponential Functions with Base

Solving Exponential Equations

Evaluating Logarithmic Expressions