AP Precalculus — Change in Tandem — Drill 1

About This Drill

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

Change in tandem questions on the AP® Precalculus exam test how output values behave as input values increase, using graphs, tables, and verbal descriptions. This drill covers identifying intervals where a function is increasing or decreasing, recognizing concavity and inflection points from graphical and numerical representations, and matching real-world narratives to the correct function behavior.

Questions in This Drill

1. The graph of y = f(x) is shown below.
   
   
   
   On which of the following intervals is f increasing and concave up?
2. The table below gives values of a function g at selected values of x.
   
   

   x	1	2	3	4
   g(x)	12	9	5	0

   
   Which of the following statements correctly describes the behavior of g on the interval 1 ≤ x ≤ 4?
3. The graph of y = f(x) is shown below.
   
   
   
   Which of the following correctly describes the behavior of f over the interval shown?
4. The graph of y = f(x) is shown below.
   
   
   
   Which of the following statements about f must be true?
5. A car travels along a straight road. Starting from rest, it accelerates so that its speed increases at an increasing rate, then slows to a complete stop at a stoplight, remains stopped for several seconds, and then accelerates again from rest with its speed increasing at an increasing rate. Which of the following best describes the distance d traveled by the car as a function of time t during the entire sequence?