Pre Calculus 6.0 2416
Cumulative Review II
Name________________________
Date:____________ Pd_________
ALL WORK IS TO BE COMPLETED ON SEPARATE PAPER. IT IS EXPECTED THAT YOUR WORK
WILL REPRESENT COMPLETE, NEAT AND ORGANIZED SOLUTIONS TO THE STATED PROBLEMS
1. Evaluate the function at each specified value of the independent variable.
5

x
 3x  8,
3
f ( x)  
3x 2  9 x  8, x   5

3
 5
a) f   
 3
b) f (1)
c) f (0)
2. Given: f ( x)   x 2  3x  10 and g ( x)  4 x  1 , evaluate the indicated function for
g
f  2  .
3. Find the domain and composition  f g  x  for the functions f ( x)  x
g  x 
1
.
x 1
2
4. Find a polynomial function, with integer coefficients, that has -1, 3, 3, and 4 i as
its zeros.
5. Find all the zeros of the following function and then write it as the product of
linear factors.
f  x   2 x6  7 x5  3x 4  53x3  121x 2  120 x  36
6. Sketch the graph of the function by hand.
a. f  x   3x  4  5

7. Expand the logarithmic expression: ln x
b. g  x   4  log 2  x  1
3
x 5

8. Solve the equations algebraically.
a. 6e2 x  72
b. log 2 x  log 2  x  2   3
c. e2 x  12e x  35