Discrete Mathamatics (Floor & Ceiling Function in function)

[geforce]

Ceiling = "{" & "}"
Floor = "[" & "]"

f(X) = [ 1/2 - {x/3}]


How would I graph this function?

Note: If the decimal is floors it will be rounded down , if the decimal is ceiling it will be rounded up.

~Thanks.

 

[fauboca]

Ceiling = "{" & "}"
Floor = "[" & "]"

f(X) = [ 1/2 - {x/3}]


How would I graph this function?

Note: If the decimal is floors it will be rounded down , if the decimal is ceiling it will be rounded up.

~Thanks.

When x = 0, y = 0. Trivial to verify.
Look at $$0 < x \leq 3$$ Why did I pick 3?
Then look at $$3<x\leq 6$$

Just keep observing what is occurring during the intervals.

 

[geforce]

Okay, thanks a lot, I really appreciate it.

 

[geforce]

Would the first domain be ceiling or floors?