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# The function f has the property that f(x) = f(x + 1)

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The function f has the property that f(x) = f(x + 1) [#permalink]  25 May 2016, 16:07
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66% (00:42) correct 33% (00:41) wrong based on 9 sessions
The function f has the property that f(x) = f(x + 1) for all numbers x. If f (4) = 17, what is the value of f(8) ?

[Reveal] Spoiler: OA
17

Practice Questions
Question: 17
Page: 85

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Sandy
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4756
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1668 [1] , given: 396

Re: The function f has the property that f(x) = f(x + 1) [#permalink]  25 May 2016, 16:10
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Explanation

The property that $$f (x) = f (x + 1)$$ for all numbers x implies that $$f (4) = f (5)$$, $$f (5) = f (6)$$, $$f(6) = f(7)$$, and $$f(7) = f(8)$$. Therefore, since $$f(4) = 17$$, it follows that $$f(8) = 17$$. Thus the correct answer is 17.
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Sandy
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Manager
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Re: The function f has the property that f(x) = f(x + 1) [#permalink]  26 May 2016, 04:49
f(x) = f(x + 1) and f (4) = 17 means this is a line y = 17, so f(8) will be 17 too
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Kudos [?]: 1160 [1] , given: 7

Re: The function f has the property that f(x) = f(x + 1) [#permalink]  16 Oct 2017, 14:33
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sandy wrote:
The function f has the property that f(x) = f(x + 1) for all numbers x. If f (4) = 17, what is the value of f(8) ?

[Reveal] Spoiler: OA
17

Practice Questions
Question: 17
Page: 85

To get a feel for this information, let's first pick a random value for x.
Let's say x = 2
The given info tells us that f(x) = f(x + 1) for all values of x
So, f(2) = f(2 + 1)
In other words, f(2) = f(3)

Let's try a different value of x.
The given info tells us that f(x) = f(x + 1) for all values of x
So, f(3) = f(3 + 1)
In other words, f(3) = f(4)

And so on.

We can see that f(2) = f(3) = f(4) = f(5) and so on
So, if f(4) = 17, we can be certain that f(8) = 17 as well.

[Reveal] Spoiler:
17

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Re: The function f has the property that f(x) = f(x + 1)   [#permalink] 16 Oct 2017, 14:33
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