Chapter 5: Rational Exponents and Radical Functions

Printable Note Packet

5.1 nth Roots and Rational Exponents

5.2 Properties of Rational Exponents and Radicals

5.3 Graphing Radical Functions

5.4 Solving Radical Equations and Inequalities

5.5 Performing Function Operations

5.6 Inverse of a Function

5.1-5.6 Note Packet (all Ch 5).pdf

Printable Note Packet

This is the fill-in-the-blank note packet that students use to take notes in my class. Whether you're in my class or not, feel free to print a copy if you'd like to use it to take the notes or study for your class/tests.

5.1 nth Roots and Rational Exponents

5.1 (Part 1) Annotated.pdf

Notes (Part 1)

These are the written notes for the first lesson on Section 5.1

Evaluating nth Roots and Rational Exponents

This is a video that will help you with the first and second example from these notes

Square Roots & Nth Roots

This is an exhaustive video on Nth roots and their properties. This video covers some of Section 5.1 and Section 5.2

5.1 (Part 2) Annotated.pdf

Notes (Part 2)

These are the written notes for the second lesson on Section 5.1

Solving Equations Using nth Roots (a little longer)

This is a video that will help you with the example from these notes

Solving Equations Using nth Roots (a little shorter)

This is a video that will help you with the example from these notes

5.2 Properties of Rational Exponents and Radicals

5.2 (Part 1) Annotated.pdf

Notes (Part 1)

These are the written notes for the first lesson on Section 5.2

Properties of Exponents (Complete Review)

This is a video that will help you with the first four examples from these notes

Simplifying Expressions with Rational Exponents

This is a video that will help you with the last example from these notes

5.2 (Part 2) Annotated.pdf

Notes (Part 2)

These are the written notes for the second lesson on Section 5.2

Simplifying the Nth Root

This is a video that will help you with part (a) of the second example from these notes

Rationalizing a Denominator with Nth Root Radicals

This is a video that will help you with part (b) of the second example from these notes

5.2 (Part 3) Annotated.pdf

Notes (Part 3)

These are the written notes for the third lesson on Section 5.2

Adding and Subtracting Radical Expressions

The first half of this video will help you with the first example from these notes

Subtracting Radical Expressions with Variable Radicands

This is a video that will help you with the second example from these notes

5.2 (Part 4) Annotated.pdf

Notes (Part 4)

These are the written notes for the fourth lesson on Section 5.2

Simplifying nth Roots

This is a video that will help you with the first example from these notes

Simplifying Expressions with Rational Exponents

The second half of this video will help you with the second example.

5.2 (Part 5) Annotated.pdf

Notes (Part 5)

These are the written notes for the fifth lesson on Section 5.2

Multiplying by the Conjugate to Simplify Radicals

This is a video that will help you with the example from these notes

Simplify Rational Expressions with Radicals in Denominator

This is a video that will help you with the example from these notes

5.3 Graphing Radical Functions

5.3 (Part 1) Annotated.pdf

Notes (Part 1)

These are the written notes for the first lesson on Section 5.3

Graphing the Parent Square Root Function

This video will help you with example 1A from these notes

Graphing the Parent Cube Root Function

The first half of this video will help you with example 0 and the second half will help you with example 1B from these notes

5.3 (Part 2) Annotated.pdf

Notes (Part 2)

These are the written notes for the second lesson on Section 5.3

Graphing Transformations of the Square Root Function

This is a video that will help you with the square root examples from these notes

Graphing Transformations of the Cube Root Function

This is a video that will help you with the cube root examples from these notes

5.3 (Part 3) Annotated.pdf

Notes (Part 3)

These are the written notes for the third lesson on Section 5.3

Graphing Circles Centered at the Origin

This video will help you with the examples covered in these notes

Graphing Circles and Writing Equations in Standard Form

This video starts with the example in these notes and then goes further. Watch if you'd like to deepen your learning past the notes!

5.4 Solving Radical Equations and Inequalities

5.4 (Part 1) Annotated.pdf

Notes (Part 1)

These are the written notes for the first lesson on Section 5.4

Solving Radical Equations

The first half of this video will help you with the example from these notes

Solving a Radical Equation

The first half of this video will help you with the example from these notes

5.4 (Part 2) Annotated.pdf

Notes (Part 2)

These are the written notes for the second lesson on Section 5.4

Solve Radical Equations & Check for Extraneous Solutions

This is a video that will help you with the example from these notes

Solving Radical Equations with Extraneous Solutions

This video covers the exact same problem as Example 3 in these notes

5.4 (Part 3) Annotated.pdf

Notes (Part 3)

These are the written notes for the third lesson on Section 5.4

Solve Equations with Rational Exponents (one and two solutions)

This is a video that will help you with the first example from these notes

Solve Equations with Fractional Exponents

This video covers the exact same problems as Example 5 and Example 6 in these notes

5.5 Performing Function Operations

5.5 (Part 1) Annotated.pdf

Notes (Part 1)

These are the written notes for the first lesson on Section 5.5

Adding Functions
(And Finding Domain)

This is a video that will help you with the first example from these notes

Subtracting Functions
(And Finding Domain)

This is a video that will help you with the second example from these notes

5.5 (Part 2) Annotated.pdf

Notes (Part 2)

These are the written notes for the second lesson on Section 5.5

Multiplying Functions
(And Finding Domain)

This is a video that will help you with the first example from these notes

Dividing Functions
(And Finding Domain)

This is a video that will help you with the second example from these notes

5.6 Inverse of a Function

5.6 (Part 1) Annotated.pdf

Notes (Part 1)

These are the written notes for the first lesson on Section 5.6

Finding the Inverse of a Linear Function

This is a video that will help you with the second example from these notes

Finding the Inverse of a Linear Function

This is a video that will help you with the second example from these notes

5.6 (Part 2) Annotated.pdf

Notes (Part 2)

These are the written notes for the second lesson on Section 5.6

Finding the Inverse of a Quadratic Function

This video will help you with the first example from these notes

Finding the Inverse of a Cubic Function

This video will help you with the second example from the notes

Finding the Inverse of a Radical Function

This video will help you with the third example from these notes

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Chapter 5: Rational Exponents and Radical Functions

Printable Note Packet

5.1 nth Roots and Rational Exponents

Notes (Part 1)

Evaluating nth Roots and Rational Exponents

Square Roots & Nth Roots

Notes (Part 2)

Solving Equations Using nth Roots (a little longer)

Solving Equations Using nth Roots (a little shorter)

5.2 Properties of Rational Exponents and Radicals

Notes (Part 1)

Properties of Exponents (Complete Review)

Simplifying Expressions with Rational Exponents

Notes (Part 2)

Simplifying the Nth Root

Rationalizing a Denominator with Nth Root Radicals

Notes (Part 3)

Adding and Subtracting Radical Expressions

Subtracting Radical Expressions with Variable Radicands

Notes (Part 4)

Simplifying nth Roots

Simplifying Expressions with Rational Exponents

Notes (Part 5)

Multiplying by the Conjugate to Simplify Radicals

Simplify Rational Expressions with Radicals in Denominator

5.3 Graphing Radical Functions

Notes (Part 1)

Graphing the Parent Square Root Function

Graphing the Parent Cube Root Function

Notes (Part 2)

Graphing Transformations of the Square Root Function

Graphing Transformations of the Cube Root Function

Notes (Part 3)

Graphing Circles Centered at the Origin

Graphing Circles and Writing Equations in Standard Form

5.4 Solving Radical Equations and Inequalities

Notes (Part 1)

Solving Radical Equations

Solving a Radical Equation

Notes (Part 2)

Solve Radical Equations & Check for Extraneous Solutions

Solving Radical Equations with Extraneous Solutions

Notes (Part 3)

Solve Equations with Rational Exponents (one and two solutions)

Solve Equations with Fractional Exponents

5.5 Performing Function Operations

Notes (Part 1)

Adding Functions (And Finding Domain)

Subtracting Functions (And Finding Domain)

Notes (Part 2)

Multiplying Functions (And Finding Domain)

Dividing Functions (And Finding Domain)

5.6 Inverse of a Function

Notes (Part 1)

Finding the Inverse of a Linear Function

Finding the Inverse of a Linear Function

Notes (Part 2)

Finding the Inverse of a Quadratic Function

Finding the Inverse of a Cubic Function

Finding the Inverse of a Radical Function

Adding Functions
(And Finding Domain)

Subtracting Functions
(And Finding Domain)

Multiplying Functions
(And Finding Domain)

Dividing Functions
(And Finding Domain)