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avatar+28 

Which graph represents the function on the interval [−3, 3] ?

f(x)=[x]−3

 Mar 18, 2019
 #1
avatar+703 
+2

Are the brackets around the x a floor or ceiling function? I can't tell, so I am unable to tell what it is.

 Mar 18, 2019
 #2
avatar+28 
+2

It's floor.

parisllama  Mar 18, 2019
 #3
avatar+101103 
0

y = floor ( x)  - 3

 

Let's plot a few values

 

x = 1  ....floor  = 1  so     y = -2

x = 1.5 ....floor = 1   so    y =  -2 

x = 2   ....floor = 2  so         y = -1

 

So....the points   (1, - 2)   (1.5, -2)   and ( 2, - 1)    are on the graph

 

Notice that these points only exist on graph  "D"

 

 

cool cool cool

 Mar 18, 2019

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