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# The function f is defined by f(x) = p^x, where x is an integer and p

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Math Expert
Joined: 02 Sep 2009
Posts: 58431
The function f is defined by f(x) = p^x, where x is an integer and p  [#permalink]

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24 Oct 2018, 05:03
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Difficulty:

25% (medium)

Question Stats:

82% (01:15) correct 18% (01:01) wrong based on 53 sessions

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The function f is defined by f(x) = p^x, where x is an integer and p is a constant. What is the value of f(1)?

(1) f(2) = 81
(2) f(3) = -729

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Joined: 09 Jun 2018
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Re: The function f is defined by f(x) = p^x, where x is an integer and p  [#permalink]

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24 Oct 2018, 05:57
Stmt 1:

f(2) = p^2 = 81, hence p can be +9 or -9
Therefore, f(1) = p^1 = -9 or +9. Hence Insufficient.

Eliminate A, D

Stmt 2:

f(3) = p^3 = -729, hence p has to be -9.
Therefore, f(1) = P^1 = -9. Hence Sufficient.

Hence Option B.
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Re: The function f is defined by f(x) = p^x, where x is an integer and p   [#permalink] 24 Oct 2018, 05:57
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