Discrete Mathamatics (Floor & Ceiling Function in function)

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Homework Help Overview

The discussion revolves around the graphing of a function that involves floor and ceiling functions, specifically f(X) = [1/2 - {x/3}]. Participants are exploring how to represent this function graphically and are considering the implications of the floor and ceiling operations on the output values.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to understand how to graph the function by examining specific intervals of x, particularly between 0 and 6. Questions are raised about the nature of the domain regarding the use of floor and ceiling functions.

Discussion Status

The discussion is ongoing, with participants sharing observations about the function's behavior in different intervals. Some guidance has been offered regarding the verification of values at specific points, but there is no explicit consensus on the approach to graphing the function.

Contextual Notes

Participants are considering the definitions and implications of floor and ceiling functions in the context of the problem, which may influence their understanding of the function's graphing process.

geforce
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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.
 
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geforce said:
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.
 
Okay, thanks a lot, I really appreciate it.
 
Would the first domain be ceiling or floors?
 

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