Unit 6 - Rational Exponents & Radical Functions
Warm Up: p.412 #1-12
6.1 Evaluate nth Roots and Use Rational Exponents
6.2 Apply Properties of Rational Exponents
6.3 Function Operations and Composition
6.4 Using Inverse Functions
6.5 Graph Square Roots and Cube Root Functions
6.6 Solve Radical Equations
6.1 Evaluate nth Roots and Use Rational Exponents
- I can evaluate expressions with rational exponents
- I can solve equations using nth roots
- I can nth roots in problem solving
6.2 Apply Properties of Rational Exponents
- I can use and apply properties of exponents
- I can use and apply properties of radicals
- I can write radicals in simplest form
- I can add and subtract like radicals and roots
- I can simplify variable expression in simplest form
- I can add and subtract expressions involving variables
6.3 Function Operations and Composition
- I can add and subtract functions
- I can multiply and divide functions
- I can find compositions of functions
- I can write and solve compositions of functions
6.4 Using Inverse Functions
- I can find the inverse relation
- I can verify that functions are inverses
- I can find and identify the graph of an inverse function
6.5 Graph Square Roots and Cube Root Functions
- I can graph a square root functions
- I can graph a cube root functions
- I can graph a translated square root function
- I can graph a translated cube root functions
6.6 Solve Radical Equations
- I can solve a radical equations
- I can solve a radical equations given a function
- I can solve an equation with a rational exponent
- I can solve an equation with extraneous solution
- I can solve an equation with two radicals
Table of Contents:
- Syllabus
- 6.1 Notes
- 6.1 HW p.417 #3-13odd, 21-31odd,35-45odd,49,51-57odd,60
- 6.2 Notes
- 6.2 HW p.424 #3-65odd,77
- Quiz from book p.427 #1-15
- 6.3 Notes
- 6.3 HW p.432 #3,5,7,12,16,21,23,29-41odd,34,38,45
- 6.4 Notes
- 6.4 HW p. 442 #3-11odd,15-43odd,48
- Mid-Section Review p.1015 #4-39 all (For questions #24-31, Let g(x) = x^2 + x) Alternate: Quiz from book p.445 #1-19
- 6.5 Notes
- 6.5 HW p.449 #3,4,9,10,12,17,18,19,21,25,27-33odd
- 6.6 Notes
- 6.6 HW p.456 #3-31odd,37-51odd, 53
- Quiz from book p.459 #1-13
- Unit 6 Practice Test
- Unit 6 Test