MGMAT - Function

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Source: — Data Sufficiency |

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by Anurag@Gurome » Fri Mar 18, 2011 1:05 am
diehard_gmat wrote:For all integers n, the function f is defined by f(n) = a^n, where a is a constant. What is the value of f (1)?

(1) f (2) = 100
(2) f (3) = -1,000
f(1) = a^1 = a
Hence, we need to find the value of a.

Statement 1: f(2) = a^2 = 100 => a = ±10

Not sufficient

Statement 2: f(3) = a^3 = -1,000 => a = -10

Sufficient

The correct answer is B.
Anurag Mairal, Ph.D., MBA
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