If f(x) = int(x/2), find
A. f(1.2)
B. f(1.6)
C. f(-1.8)
x is just a place holder. You can replace it with whatever you want
f(1.2) = int(1.2/2) = int(0,6) = 0
If by "int" you mean the integer part
This is different from floor or ceil.
To find the value of f(x) where f(x) = int(x/2), we need to determine the greatest integer less than or equal to x/2.
A. To find f(1.2), divide 1.2 by 2: 1.2 / 2 = 0.6. The greatest integer less than or equal to 0.6 is 0. So, f(1.2) = 0.
B. To find f(1.6), divide 1.6 by 2: 1.6 / 2 = 0.8. The greatest integer less than or equal to 0.8 is 0. So, f(1.6) = 0.
C. To find f(-1.8), divide -1.8 by 2: -1.8 / 2 = -0.9. The greatest integer less than or equal to -0.9 is -1. So, f(-1.8) = -1.
To find the values of f(x) for different values of x, we need to understand the function f(x) = int(x/2).
The function int(x) rounds the input x down to the nearest integer. In the case of non-integer values, if the decimal portion is greater than or equal to 0.5, it is rounded up to the next integer; otherwise, it is rounded down to the current integer.
Now let's find the answers to the given questions:
A. To find f(1.2), substitute x = 1.2 into the function:
f(1.2) = int(1.2/2)
= int(0.6)
The decimal portion 0.6 is less than 0.5, so when we round it down, we get 0 as the answer.
Therefore, f(1.2) = 0.
B. To find f(1.6), substitute x = 1.6 into the function:
f(1.6) = int(1.6/2)
= int(0.8)
The decimal portion 0.8 is greater than or equal to 0.5, so when we round it up, we get 1 as the answer.
Therefore, f(1.6) = 1.
C. To find f(-1.8), substitute x = -1.8 into the function:
f(-1.8) = int(-1.8/2)
= int(-0.9)
The decimal portion -0.9 is less than 0.5, so when we round it down, we get -1 as the answer.
Therefore, f(-1.8) = -1.
In summary:
A. f(1.2) = 0
B. f(1.6) = 1
C. f(-1.8) = -1