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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] New post 25 May 2016, 16:07
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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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Re: The function f has the property that f(x) = f(x + 1) [#permalink] New post 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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Re: The function f has the property that f(x) = f(x + 1) [#permalink] New post 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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Re: The function f has the property that f(x) = f(x + 1) [#permalink] New post 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.
How about x = 3
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.

Answer:
[Reveal] Spoiler:
17


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