Pre Calculus 2416
Cumulative Review VI
Name________________________
Due 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. Determine the solutions of the following equations. Express answers in simplest rational,
radical form.
a. 225x  50 x3  0
b. 2 z 2  3z  35  0
c. y 4  256  0
2. Find the equation of a polynomial y  f  x  with integer coefficients that has the given zeros:
2
, 5i
3
3. Determine the domain of the following functions. State answers in interval notation.
x 5
a. f ( x)  2ln(4  3x 2 )
b. f  x  
4 x
4. Sketch the graph of the rational functions being sure to include all asymptotes, intercepts, and
sufficient arbitrary points.
x 2  25
x 1
3
a. f  x  
b. f  x   2
c. f  x  
x 1
2 x
x 9
5. Use the given information and solve the triangle (find all missing angle measures and side
lengths). Also determine the area using a formula from Pre Calculus. Work must be shown.
Round all answers to 3 decimal places.
a.
b.
A = 32 , B = 61 , a = 11
a = 12, b = 15, c = 24
5
3
where    
. Find the values of the remaining 5 trigonometric
7
2
functions. Express answers in simplest rational, radical form.
6. Given sin   
7. Sketch the following functions. Include the equation of the asymptote and at least 3 points.
a. f  x   2x 2  1
8. Given f  x  
b. f  x   log3  x  3  2
x2
and g  x   5  x , find D f g .
3x  x  4
2
9. Solve the following equations. Express answers in exact form.
a. 2e2 x  5e x  2  0
b. log 2 x  log 2  x  2   3