Which graph represents the function on the interval [−3, 3] ?
f(x)=[x]−3
Are the brackets around the x a floor or ceiling function? I can't tell, so I am unable to tell what it is.
It's floor.
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"
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