Pre Calculus 6.0 2416
Cumulative Review III
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. Write the equation of a line in slope-intercept form that is the perpendicular
bisector of the segment with endpoints (-10, 6) and (4, -9).
2. Given f ( x)  2  x and g ( x) 
3
, find the domains of: D f g , Dg f .
x 1
3. Solve, write the solution in interval notation.
a. 4 x  4  2 x  8
b.
x 2  3x  10
0
x4
4. Use properties of logarithms to combine the following expression into a single
logarithm:
1
2  ln x  2ln y   4ln z
5. Use properties of logarithms to expand the logarithm:
 x  4
ln
3
2x
6. Express the logarithm in terms of ln  2  and ln  3 .
a. ln
4
27
b.
ln 24
7. Solve. Round to 3 decimal places when necessary.
a. 5x  421
b. e x  421
c. 7  3ln x  5
d.
log3  2 x  1  log3  x  1  3
8. Find the domain of the logarithmic function. f ( x)  ln  x 2  9 
9. Write the first 5 terms of the sequence.
a. an  3n  2
b.
10. Write an expression for the apparent nth term.
a. 4, 10, 16, 22
b.
a1  4, ak 1  2ak  1
4, 6, 9, 13.5
11. Find the sum of each series, if possible.
4
a.
  3i !
90
b.
i 1
6
d.
9 
n 0
2 n
3
  3n  2 
20
c.

e.
 5 
n 0
1 n
2
  4n  1
n 5
n 1

f.
 4 
n 0
5 n
4