Reading Questions over Section 3.1 Name ________________________________________
Come to the next class with the following completed.
1. Carefully read the first two sentences of Section 3.1 and complete the
blanks:
Exponential functions change at a constant _____________,
while linear functions change at a constant _____________.
2. Notice in Example 1 how the salary is computed from the previous year's
salary.
Then give the salary for Year 5 (accurate to two decimal places.).
___________________
3. For the salary function in Example 1, give the annual growth factor:
__________
4. For the salary function in Example 1, give the annual growth rate:
__________
5. Circle True or False:
The text reports the growth factor per millenium of
the carbon-14 function from
Example 3 as 0.886, even though it is decreasing.
o True
o False
6. On page 110, suppose there was a row for t = 4 years in Table 3.4.
Would the salary be equivalent to 40,000(1.06)(1.06)(1.06)(1.06)?
o Yes
o No
7. The blue box on page 110 is VERY important. Read it carefully. Which of
these represents the growth factor?
o a
o b
o t
o f(t)
o r
8. In Section 3.1, which of these functions are concave up? (Select ALL
correct answers.)
o The salary function in Example 1
o The population of Mexico in Example 2
o The amount of carbon-14 remaining in Example 3
o The Yonkers fine in Example 8.
9. In Example 8, suppose the fine started out at $100 but tripled every
day instead of doubled.
What would then be the formula in part (b)?
_________________