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# The function g(x) is defined as the greatest integer

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The function g(x) is defined as the greatest integer [#permalink]  14 Apr 2020, 09:17
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Question Stats:

75% (01:07) correct 25% (00:40) wrong based on 8 sessions
The function $$g(x)$$ is defined as the greatest integer less than or equal to $$x$$, while the function $$h(x)$$ is defined as the least integer greater than or equal to $$x$$. What is the product $$g(1.7) \times h(2.3) \times g(-1.7) \times h(-2.3)$$?

A. 6
B. 9
C. 12
D. 16
E. 24
[Reveal] Spoiler: OA

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Re: The function g(x) is defined as the greatest integer [#permalink]  14 Apr 2020, 10:08
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Carcass wrote:
The function $$g(x)$$ is defined as the greatest integer less than or equal to $$x$$, while the function $$h(x)$$ is defined as the least integer greater than or equal to $$x$$. What is the product $$g(1.7) \times h(2.3) \times g(-1.7) \times h(-2.3)$$?

A. 6
B. 9
C. 12
D. 16
E. 24

Let's first get a better idea of what each function does.

g(x) = the greatest integer less than or equal to x
So, for example, g(3.1) = 3, since 3 is the greatest integer that is less than 3.1
Likewise, g(8.7) = 8, since 8 is the greatest integer that is less than 8.7
And g(4.2) = 4, f(0.5) = 0 and f(-5.55) = -6

h(x) = the least integer greater than or equal to x
So, for example, h(4.6) = 5, since 5 is the smallest integer that is greater than 4.6
Likewise, h(10.11) = 11, since 11 is the smallest integer that is greater than 10.11
And h(0.4) = 1, h(-2.33) = -2 and h(-3.5) =-3

So.... [g(1.7)][h(2.3)][g(-1.7)][h(-2.3)] = (1)(3)(-2)(-2) = 12

Answer: C

Cheers,
Brent
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Re: The function g(x) is defined as the greatest integer [#permalink]  28 Jun 2020, 20:37
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g(x) greatest integer less than or equal x
h(x) least integer less than or equal x.

g(1.7) * h(2.3) * g(-1.7) * h(-2.3) = 1*2*-2*-3 = 12
Answer is C
Re: The function g(x) is defined as the greatest integer   [#permalink] 28 Jun 2020, 20:37
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# The function g(x) is defined as the greatest integer

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