What is the "Greatest Integer Function"?

Question

When
If F(x)=int(2x), find f(1.2)?

Details!!!!!!!!!!!!!!!!!!!!

Answer 1

The "greatest integer function", also called the "floor function", simply takes the input you give it, then rounds it DOWN to the nearest integer.

So, if we call this floor function "int()", here are some examples of how it would operate on some inputs:

int(0.7) = 0
int(3) = 3
int(3.1415) = 3
int(-1.4) = -2
int(-0.2) = -1

For your specific question, we want to know F(1.2).
F(x) = int(2x)
F(1.2) = int(2*1.2)
F(1.2) = int(2.4)
F(1.2) = 2

Answer 2

The greatest integer less than or equal to a number
usually writen with double brackets

[[2.1]] = 2

So f(x) = 2x
[[f(1.2]] = [[2*1.2]] = [[2.4]] = 2

Answer 3

greatest integer fuction is gint(x)

answer is 2

f(1.2) = 2