Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed...

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Warm Up Determine if the functions are inverses 1. and 2. 1 and 3. and

Transcript of Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed...

Page 1: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

Warm Up

Determine if the functions are inverses

1. and2. 1 and3. and

Page 2: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

Algebra 3Chapter 7: Powers, Roots, and RadicalsLesson 5: Graphing Square Roots and Cubed Roots

Page 3: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

VOCAB

Radical Function – an equation that contains a square root symbol.

Domain – all x values on the graph

Range – all y values on the graph

Page 4: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

Today

Today we will learn how to graph radical equations

Page 5: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

Directions (Graphing)

Convert the problem to exponential form

Type it in the calculator

Graph it

Page 6: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

KnowledgeStarting Point

a – stretch/shrink (widens) a – negative flips the graph h – moves right or left (opposite)

k - moves the graph up or down

Page 7: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

Knowledge

All even powered radicals make c or backwards c

All odd powered radicals make s or z

Page 8: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

LETS MAKE THIS CLEAR

FOR TODAY and TODAY ONLYWe will only be looking at half of the

graph of the even radicals This way you can clearly see the

transformation

In the future you need to remember that even powers get plus minus

Page 9: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

Graphing (I DO)

Graph the equation. State the domain and range

1. 2. 3. 4.

Page 10: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

Graphing (WE DO)

Graph the equation. State the domain and range

1. 2. 3. 4.

Page 11: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

Graphing (YOU DO)

Graph the equation. State the domain and range

1. 2. 3. 4.

Page 12: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

Review

What did you learn today

Page 13: Warm Up. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 5: Graphing Square Roots and Cubed Roots.

Homework

Worksheet7.5 B (1 – 24)