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
_________________
Brent Hanneson - founder of Greenlight Test Prep