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) 
x4
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