PSAT Math Multiple-Choice Question 752: Answer and Explanation

Question: 752

In the equation y = 2xⁿ, in which x is an integer greater than 1, what is a possible value of n that will ensure that the expression has exponential growth?

• A. 0
• B. 1
• C. 4
• D. Not sufficient information

Correct Answer: C

Explanation:

(C) A value of 4 for n will ensure that the expression has exponential growth since any power of 2 or greater will ensure exponential growth in the function. Anything raised to the 0 power simply equals 1. Anything raised to an exponent of 1 is simply itself. So choices (A) and (B) result in lines, not exponential functions.