You are very welcome!The ceiling function
the ceiling function [ ceil(x) ] maps x to the least integer greater than or equal to x.
For example :
ceil(3.4) = 4
ceil(-4.4) = -4
We need to graph the function:
f(x) = ceil (x) on the interval [-4,4]
Let's give x some values:
For x=-4 , ceil(-4) = -4
For x=-3.5, ceil (-3.5) = -3
Any value of x between -4 and -3 will have a value of -3
For x=-2.9, ceil(-2.9)=-2
Any value of x between -3 and -2 will have a value of -2
For x=-1.5, ceil(-1.5) = -1
Any value of x between -2 and -1 will have a value of -1
For x=-0.3, ceil(-0.3) = 0
Any value of x between -1 and 0 will have a value of 0
For x=0.8, ceil(0.8) = 1
Any value of x between 0 and 1 will have a value of 1
For x=1.2, ceil(1.2) = 2
Any value of x between 1 and 2 will have a value of 2
The graph will be shown right below