1. Choose the graph of the function y = 2 x from the following:1. 2.
{applet} 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. Find the function of the form f (x) = C a x whose graph is given
Find the function of the form f (x) = C a x whose graph is given. {applet} Choose the answer from the following:
f (x) = 2(3 x)
f (x) = 3(2 x)
f (x) = 2(3 -x)
f (x) = 3(2 -x) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. If $100,000 is invested at an interest rate of 5% per year, compounded semiannually, find the value of the investment after 10 years. Choose the answer from the following:
$163,862
$61,027
$100,000
$173,862 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. Graph the function and its asymptotes. {image}
{applet} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. Evaluate the expression: e 2 ln 3 Choose the correct answer from the following:9 6 8
5.294 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

6. Find the solution of the exponential equation, correct to four decimal places. 5 + 3 5x = 102 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

7. Solve the logarithmic equation for x: log ( 7 x + 1 ) = Choose the correct answer from the following ( answers are rounded to two decimal places ):
x = 1.29
x = 0.64
x = 0.32
x = 1.43
None of these 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

8. A 20-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by m ( t ) = 20 e t where m( t ) is measured in grams. After how many days is there only 14 g remaining? Choose the correct answer from the following (the answers were rounded to the nearest days):
4 days
5 days
3 days
6 days 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

9. 100 bacteria 200 bacteria 1 bacteria 75 bacteria
The number of bacteria in a culture is modeled by the function n ( t ) = 100 e 0.75 t where t is measured in hours. What is the initial number of bacteria? Choose the correct answer from the following :
100 bacteria
200 bacteria
1 bacteria
75 bacteria 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

10. If 260 mg of a radioactive element decays to 210 mg in 60 hours, find the half-life of the element (in hours). Choose the correct answer from the following : h h h
41.59 h 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50