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avatar+386 

 

I just ran into this function in my routine exercises:

 

f(x) = [2x/3]+3

 

I'd like to know if the square brackets mean the same thing as "( )". 

 

The task with this one is to find the width of it's "paliers"

(First language ain't english, I looked "paliers" in a dictionnary and seems it translates to the exact same thing, correct me if I'm wrong).

 

So if that function really has "paliers", then there must be something wrong with the way I enter it in www.desmos.com.

 

I do type in the brackets but it gives me a straight line...

 Sep 21, 2016
 #1
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What English Dictionary did you use? There is no such word as "paliers" in English that I can find!. What is your native language?.

P.S. Both [ ] and ( ) mean exactly the same thing, even though, sometimes, ( ) are peformed first, then the [ ].

 Sep 21, 2016
 #2
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I FOUND THE CORRECT TRADUCTION!

 

It's called a "step" function.

 

Here's the exact translation of the situation I have to solve:

 

"f(x) = [2x/3]+2  's graph is composed of a serie of steps. Draw it's graph and find the width of said steps."

 Sep 22, 2016
 #3
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I think you might mean one of the following:

 

The floor function:  \(\lfloor 2x/3 \rfloor + 3\)

 

or the ceiling function:  \(\lceil 2x/3 \rceil + 3\)

 

where the floor function is the nearest integer below the value of the argument and the ceil function is the nearest integer above the value of the argument.  Notice that the lines are not [ or ]; i.e. they are not the same as standard square brackets.

 

In the graph below f(x) is the floor function and g(x) is the ceiling function:

 

.

 Sep 22, 2016
 #4
avatar+386 
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Sorry, the function I have to work with is exactly written with " [   ] "

 

Thanks a lot though!

TonyDrummer2  Sep 22, 2016

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