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The function g(x) is defined as the greatest integer
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14 Apr 2020, 09:17
14 Apr 2020, 09:17
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Question Stats:
72% (01:14) correct
27% (01:40) wrong based on 43 sessions
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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
A. 6
B. 9
C. 12
D. 16
E. 24
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Re: The function g(x) is defined as the greatest integer
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14 Apr 2020, 10:08
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
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
Re: The function g(x) is defined as the greatest integer
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28 Jun 2020, 20:37
28 Jun 2020, 20:37
1
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
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
