AP Precalculus – Exponential Functions – Drill 1

About This Drill

AP Precalculus – Exponential Functions – Drill 1 is a Math practice drill covering 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 identifying and analyzing exponential functions of the form f(x) = a · b^x, including domain and range, growth vs. decay, percent change connections, and transformations.

Questions in This Drill

1. The function \( f(x) = 3 \cdot (0.7)^x \) is defined for all real numbers. Which of the following statements correctly describes \( f \)?
2. A population is growing at a rate of 8% per year. Which of the following functions correctly models a population of 500 that grows at this rate for \( t \) years?

3. x	f(x)
   0	4
   1	12
   2	36
   3	108

   
   Which of the following functions is consistent with the table above?
4. Let \( f(x) = 5 \cdot 2^x \). A student defines a new function \( g \) by keeping the same coefficient but replacing \( x \) with its opposite before evaluating the power. Which of the following correctly identifies the transformation and its geometric effect on the graph of \( f \)?
5. The function \( h(x) = -4 \cdot \left(\tfrac{1}{2}\right)^x + 6 \) is an exponential function. Which of the following correctly states the range of \( h \)?