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Radical Functions and Rational Exponents

Radical Functions and Rational Exponents. Chapter 7. 7-1 Roots and Radical Expressions. 7-1 Roots and Radical Expressions. 7-1 Roots and Radical Expressions. 7-1 Roots and Radical Expressions. 7-2 multiplying and dividing rational expressions. simplifying radical expressions.

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Radical Functions and Rational Exponents

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  1. Radical Functions and Rational Exponents Chapter 7

  2. 7-1 Roots and Radical Expressions

  3. 7-1 Roots and Radical Expressions

  4. 7-1 Roots and Radical Expressions

  5. 7-1 Roots and Radical Expressions

  6. 7-2 multiplying and dividing rational expressions

  7. simplifying radical expressions

  8. 7-2 multiplying and dividing rational expressions

  9. 7-2 multiplying and dividing rational expressions

  10. 7-2 multiplying and dividing rational expressions Homework: page 378 (1-27) odd page 383 (1-33) odd

  11. warm up

  12. 7-3 Binomial Radical Expressions

  13. 7-2 multiplying and dividing rational expressions

  14. 7-2 multiplying and dividing rational expressions

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

  16. warm up – checkpoint quiz

  17. warm up – checkpoint quiz

  18. 7-4 Rational Exponents • Another way to write a radical expression is with a rational exponent:

  19. 7-4 Rational Exponents

  20. 7-4 Rational Exponents

  21. 7-4 Rational Exponents

  22. 7-4 Rational Exponents

  23. 7-4 Rational Exponents

  24. 7-4 Rational Exponents

  25. 7-4 Rational Exponents

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

  27. 7-5 Solving Square Root Equations • Warm Up

  28. 7-5 Solving Radical Equations • 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.

  29. 7-5 Solving Radical Equations

  30. 7-5 Solving Radical Equations

  31. 7-5 Solving Radical Equations

  32. 7-5 Solving Radical Equations

  33. page 400 (1-29) odd

  34. 7-6 Function Operations

  35. 7-6 Composition of Functions

  36. 7-6 Composition of Functions • find f(g(x)) and g(f(x))

  37. 7-7 Inverse Functions

  38. 7-7 Inverse Functions • 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.

  39. 7-7 Inverse Functions • Find the inverse for each function.

  40. 7-7 Inverse Functions

  41. 7-7 Inverse Functions • 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

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