Directions: Graph each function, identify the domain and range, find its inverse, identify its domain and range, and graph it. LABEL ALL YOUR ANSWERS APPROPRIATELY!!!
1) f ( x )  
2 x  6
-10 -5
12
10
8
6
4
2
-2
-4
-6
-8
-10
-12
5 10
2) g(x)

3 x
-10 -5
12
10
8
6
4
2
-2
5 10
-4
-10
-12
-6
-8

3)
-10 h ( x )  ( x  4)
2  3
-5
12
10
8
6
4
2
-2
-4
-6
-8
-10
-12
5 10
4) w ( x )  x  2  1
-10 -5
12
10
8
6
4
2
-2
-4
-6
-8
-10
-12
5 10
5) State if the following represents a 1-1 function or not.
(A) y
 1
2

(D) y
 x 3

3
(B) y
 x
(E)
   
(C) y
 
2

3
(F)
 

Directions: Rewrite each exponential equation as a logarithmic equation.
6)
4
3  64
7)
10
2.57
 x
Directions: Rewrite each logaritmic equation as an exponential equation.
9) log 125
5

3 10) log k m
 w
8)
3 x  5
Directions: Rewrite each logarithmic expression in base ten using the change of base formula.
When possible, evaluate the expression. SHOW ALL YOUR WORK.
11) log
3
15
12) log
3 w
13) log
4
512
Directions: Expand each logarithm.
14) log
5

3
2m x

15) log
7

6x
3 
 n
5

Directions: Write each logarithmic expression as a single logarithm.
16)
1
2 log
9 m  3log
9 w
17)
4 log x  5 log k 
1
3 log w
18)
Directions: Use the properties of logs to find the approximations of the following, given log 2

0.3
and log 5

0.7
19) log 20 20) log 0.4
21) log 25

Directions: Solve for x showing all your work . When necessary, round your answer to the nearest ten thousandth. Circle your final answer.
22) 2 ln x  ln e
5  15 23) log
5
125 x
11  47
24) log
16
4 x 
5
16
25) log
7

4 x  23
 6  18
28) 10
5 x  9  75
26) 2
3 x  5  16
11
29) 2ln x  3ln2  5
27) 5 e x  7  27
30) 4 x  7  25

31) log
2
.03125
 x
32) e
4 x  7  507
34)
 
 log2  3
35) 37
4 x  1  1253
37) log
2

2 x  2
  log
2
 x  1
  9
33)

 2 x

 3
36)
9 2x 5 
9 11

Directions: Solve each problem showing all your work.
38) Henry invested $1200 in a 6 year CD at a 5.25% interest rate. The interest is compounded monthly. How much money will Henry have when his CD matures?
39) Katherine invests $1000 in a 5 year CD that compounds interest continuously. She was thrilled to lock in at a 5.73% interest rate. How much money will Katherine have when her CD matures?
40) How long will you have to invest $500 if you earn 3.74% compounded continuously and you want to double your money?