1. Make a rough sketch of the graph of the function
Make a rough sketch of the graph of the function. Do not use a calculator. {image} 1.
{applet} 2. 3. 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. Starting with the graph of {image} , write the equation of the graph that results from shifting 8 units right.
{image} 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

3. Find the exponential function {image} whose graph is given. {applet}1. 2. 4. 3. 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. Suppose you are offered a job that lasts one month
Suppose you are offered a job that lasts one month. Which of the following methods of payment is more profitable?
One million dollars at the end of the month.
One cent on the first day, two cents on the second day, four cents on the third day, and, in general, 2 n - 1 cents on the n th day. 1. 2. 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. Compare the functions f(x) = x 9 and g(x) = 9 x by graphing both functions in several viewing rectangles. Find all points of intersection of the graphs correct to one decimal place.
(1.4,22.2); (9,387,420,489)
(387,420,497,387,420,491.4)
(2.4, 387,420,489); (9, 387,420,488)
(1.4,22.2) 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. Use a graph to estimate the values of x such that e x > 1,000,000,000.2 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

7. An isotope of sodium, 24Na, has a half-life of 15 hours
An isotope of sodium, 24Na, has a half-life of 15 hours. A sample of this isotope has mass 1 g. Find the amount remaining after 60 hours. g g
0.25 g g 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