Name__________________________________
1. The box on page 115 (and discussion preceding it) is important.
    Complete the blanks below, using any of the words in this list: sum, difference, product, ratio
For linear functions, the _____________ of consecutive y-values is constant.
    For exponential functions, the _____________ of consecutive y-values is constant.

The data in Table 3.7 given in the text is  below. Answer Questions 2-5 about the functions in this table.

x	f(x)
20	30
25	45
30	60
35	75

x	g(x)
20	1000
25	1200
30	1440
35	1728

2. One of these functions is linear and the other is exponential.
    Select which of the following are true. (Select ALL correct answers.)
o f(x) is linear
o  f(x) is exponential
o  g(x) is linear
o g(x) is exponential
3. True or False: The formula for f(x) is not shown in the text, but it would be f(x) = 3x − 30.
    Hint: you can check this with a graphing calculator.
4. True or False: The formula for g is g(x) = 1000(1.2)^x.
5. In the text, when finding the formula for the exponential function, they solve b⁵ = 1.2. 
How do they do this? (Select ONE)
o  divide both sides by 5
o  multiply both sides by 1/5
o raise each side to the 1/5 power
o  take 5th roots of both sides

6. Pay careful attention to the middle of page 117, Similarities and Differences between Linear and Exponential Functions, and how the text finds the parameters m and b for a linear function y = b + mx and the parameters a and b for an exponential function y = ab^x  when given two points through which they pass. The value of b in the linear function and the value of a in the exponential function give the starting value. What does the text mean by the starting value? Select ALL correct answers.
o the value of y when x = 0.
o the value of x when y = 0.
o  the first entry in the table 
o  the x-intercept
o  the y-intercept

7. Read Example 3 thoroughly, produce the graphs on your calculator in appropriate windows, and find the intersection points that they do. For part (c), the text showed that the intersection point occurred when t was about 102 years (found using the intersection feature shown in class last week). What is this value of t, accurate to 4 decimal places? 102. __ __  __ __