Graph the function f(x) = [[x]] - 6 identify domain and range

domain-and-range

#1

graph the function f(x) = [[x]] - 6 identify domain and range.

Answer:

Do you understand [[x]]? Basically, that means round down to the next lower integer. So, [[4.7]]=4 and [[-5.7]] = -6.

So let’s look at your function.

f(0) = 0-6=-6
f(0.1) = 0-6=-6
f(0.2) = 0-6=-6
f(0.8) = 0-6=-6
f(1) = 1-6=-5
f(1.1) = 1-6=-5
f(1.4) = 1-6=-5
f(1.9) = 1-6=-5
f(2) = 2-6=-4
f(2.6) = 2-6=-4
f(2.7) = 2-6=-4
f(-3) = -3-6=-9
f(-2.8) = -3-6=-9
f(-2.4) = -3-6=-9

This is where the step function comes in. The y value stays the same as x increases until x gets to the the next integer, then y jumps 1.

Sorry Slader has no provision for including a graph here.