chapter 7. 7-2 multiplying and dividing rational expressions

44
Radical Functions and Rational Exponents Chapter 7

Upload: preston-mcgee

Post on 17-Jan-2018

231 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Chapter 7. 7-2 multiplying and dividing rational expressions

Radical Functions and Rational Exponents

Chapter 7

Page 2: Chapter 7. 7-2 multiplying and dividing rational expressions

7-1 Roots and Radical Expressions

Page 3: Chapter 7. 7-2 multiplying and dividing rational expressions

7-1 Roots and Radical Expressions

Page 4: Chapter 7. 7-2 multiplying and dividing rational expressions

7-1 Roots and Radical Expressions

Page 5: Chapter 7. 7-2 multiplying and dividing rational expressions

7-1 Roots and Radical Expressions

Page 6: Chapter 7. 7-2 multiplying and dividing rational expressions

7-2 multiplying and dividing rational expressions

Page 7: Chapter 7. 7-2 multiplying and dividing rational expressions

simplifying radical expressions

Page 8: Chapter 7. 7-2 multiplying and dividing rational expressions

7-2 multiplying and dividing rational expressions

Page 9: Chapter 7. 7-2 multiplying and dividing rational expressions

7-2 multiplying and dividing rational expressions

Page 10: Chapter 7. 7-2 multiplying and dividing rational expressions

7-2 multiplying and dividing rational expressions

Homework:

page 378 (1-27) oddpage 383 (1-33) odd

Page 11: Chapter 7. 7-2 multiplying and dividing rational expressions

warm up

Page 12: Chapter 7. 7-2 multiplying and dividing rational expressions

7-3 Binomial Radical Expressions

Page 13: Chapter 7. 7-2 multiplying and dividing rational expressions
Page 14: Chapter 7. 7-2 multiplying and dividing rational expressions

7-2 multiplying and dividing rational expressions

Page 15: Chapter 7. 7-2 multiplying and dividing rational expressions

7-2 multiplying and dividing rational expressions

Page 16: Chapter 7. 7-2 multiplying and dividing rational expressions
Page 17: Chapter 7. 7-2 multiplying and dividing rational expressions

Homework: p 388/389 (1-37) odd

Page 18: Chapter 7. 7-2 multiplying and dividing rational expressions

warm up – checkpoint quiz

Page 19: Chapter 7. 7-2 multiplying and dividing rational expressions

warm up – checkpoint quiz

Page 20: Chapter 7. 7-2 multiplying and dividing rational expressions

Another way to write a radical expression is with a rational exponent:

7-4 Rational Exponents

Page 21: Chapter 7. 7-2 multiplying and dividing rational expressions

7-4 Rational Exponents

Page 22: Chapter 7. 7-2 multiplying and dividing rational expressions

7-4 Rational Exponents

Page 23: Chapter 7. 7-2 multiplying and dividing rational expressions

7-4 Rational Exponents

Page 24: Chapter 7. 7-2 multiplying and dividing rational expressions

7-4 Rational Exponents

Page 25: Chapter 7. 7-2 multiplying and dividing rational expressions

7-4 Rational Exponents

Page 26: Chapter 7. 7-2 multiplying and dividing rational expressions

7-4 Rational Exponents

Page 27: Chapter 7. 7-2 multiplying and dividing rational expressions

7-4 Rational Exponents

Page 28: Chapter 7. 7-2 multiplying and dividing rational expressions

homework: p 394-395 (1-47) odd, except 27 and 29

Page 29: Chapter 7. 7-2 multiplying and dividing rational expressions

Warm Up

7-5 Solving Square Root Equations

Page 30: Chapter 7. 7-2 multiplying and dividing rational expressions

A radical equation is an equation that has a variable in a radicand (or variable with a fractional exponent.)

If the radical has index 2, the equation is a square root equation.

To solve a radical equation, isolate the radical expression, then raise both sides of the equation to the same power.

7-5 Solving Radical Equations

Page 31: Chapter 7. 7-2 multiplying and dividing rational expressions

7-5 Solving Radical Equations

Page 32: Chapter 7. 7-2 multiplying and dividing rational expressions

7-5 Solving Radical Equations

Page 33: Chapter 7. 7-2 multiplying and dividing rational expressions

7-5 Solving Radical Equations

Page 34: Chapter 7. 7-2 multiplying and dividing rational expressions

7-5 Solving Radical Equations

Page 35: Chapter 7. 7-2 multiplying and dividing rational expressions

page 400 (1-29) odd

Page 36: Chapter 7. 7-2 multiplying and dividing rational expressions

7-6 Function Operations

Page 37: Chapter 7. 7-2 multiplying and dividing rational expressions

7-6 Composition of Functions

Page 38: Chapter 7. 7-2 multiplying and dividing rational expressions

find f(g(x)) and g(f(x))

7-6 Composition of Functions

Page 39: Chapter 7. 7-2 multiplying and dividing rational expressions
Page 40: Chapter 7. 7-2 multiplying and dividing rational expressions

7-7 Inverse Functions

Page 41: Chapter 7. 7-2 multiplying and dividing rational expressions

Since an inverse exchanges x values with the y values, to find an inverse of an equation you can interchange x and y, and then solve the equation for y.

7-7 Inverse Functions

Page 42: Chapter 7. 7-2 multiplying and dividing rational expressions

Find the inverse for each function.

7-7 Inverse Functions

Page 43: Chapter 7. 7-2 multiplying and dividing rational expressions

7-7 Inverse Functions

Page 44: Chapter 7. 7-2 multiplying and dividing rational expressions

homework

page 406 (1-11, 23-41) odd page 416 (5-21) odds – only find the inverse

functions, you do not need to graph these

7-7 Inverse Functions