AP Precalculus – Change in Linear and Exponential Functions – Drill 1

About This Drill

AP Precalculus – Change in Linear and Exponential Functions – Drill 1 is a Math practice drill covering Change in Linear and Exponential Functions. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

Practice distinguishing linear and exponential functions for the AP Precalculus exam with these five questions. Topics include identifying function type from tables of values, connecting arithmetic and geometric sequences to their corresponding functions, constructing exponential functions from two points, and interpreting constant versus proportional rates of change in context.

Questions in This Drill

1. The table below shows selected values of a function f.
   
   

   x	f(x)
   0	3
   1	6
   2	12
   3	24

   
   Which of the following best describes f?
2. The table below shows selected values of a function g.
   
   

   x	g(x)
   2	11
   4	17
   6	23
   8	29

   
   Which of the following could be an expression for g(x)?
3. An exponential function f satisfies f(1) = 10 and f(3) = 40. Which of the following gives an expression for f(x)?
4. A savings account earns interest so that its balance doubles every 12 years. A checking account grows by $500 per year. Both accounts currently have a balance of $2,000. Which of the following statements correctly compares the two accounts over a long period of time?
5. The table below shows values of two functions, f and g, at selected inputs.
   
   

   x	f(x)	g(x)
   0	4	4
   1	7	8
   2	10	16
   3	13	32

   
   Which of the following statements about f and g is true?