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Algebra 2 – Chapter 6 Graded in-class assignment RETAKE Name: _________________________________ Grade: _________/72 points You may use your class notes and textbook to complete this assignment. This assignment is due on Tuesday, March 15th. Solving Equations with Whole Number Exponents (4 points each) 5 1. 3 x 96 4 2. ( x 3) 625 Radicals and Rational Exponents (3 points each) Rewrite the expression using rational exponent notation 3. ( 3 5)8 ______ 4. ( 5 17) 2 ______ Simplifying Rational Exponents (3 points each) Simplify using the properties of exponents 2 5 5. x x ______ 6. 1 (x ) 2 5 ______ Simplifying Radical Expressions (4 points each) Simplify each expression 7. 128 x5 _________ 8. 36 _________ 81 Operations with Radical Expressions (4 points each) Perform the operation indicated with the radicals 9. 3 x 7 x 9 2 x 10. 2( 2 5) Operations with Functions (4 points each) Perform the operation indicated with the given functions f ( x) 3x 2 g ( x) x 5 11. f ( x) g ( x) h( x ) 4 x 3 12. g ( x) h( x) Function Inverses (4 points each) Find the equation of the inverse of the given function. Show all work. 13. f ( x) x4 Sketch the inverse of the function graphed. 14. Graphing Radical Functions (10 points) For the function listed below, complete the following information and graph the function: 15. f ( x) x 3 - - Transformations: ________________________________________ ________________________________________ x-intercept: ____________________ y-intercept: ____________________ Domain: _______________________ Range: ________________________ *You must plot at least three points on the graph Solving Radical Equations (5 points each) Solve for the variable. Be sure to check for extraneous solutions. 16. x 5 x 1 17. 6n 19 2 n