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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 9.1 - 1
9.1
Radical Expressions and Graphs
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 2
9.1 Radical Expressions and Graphs
Find Roots of Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 3
9.1 Radical Expressions and Graphs
Find Roots of Numbers
Simplifying Higher Roots
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 4
9.1 Radical Expressions and Graphs
Finding Principal Roots
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 5
9.1 Radical Expressions and Graphs
Finding Roots
Because the radicand, 25, is positive, there are two square roots, –5 and 5. The principal root is 5.
Here, we want the negative square root, –5.
The index is even and the radicand is negative, so this is not a real number.
The index is odd, so the root is –4 since (–4)3 = –64.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 6
9.1 Radical Expressions and Graphs
Graphs of Functions Defined by Radical Expressions
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 7
9.1 Radical Expressions and Graphs
Graphs of Functions Defined by Radical Expressions
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 8
9.1 Radical Expressions and Graphs
Graphs of Functions Defined by Radical Expressions
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 9
9.1 Radical Expressions and Graphs
Use a Calculator to Find Roots
Examples:
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.1 - 10
9.1 Radical Expressions and Graphs
Using a Calculator to Find the Velocity of an Orbiting Body
