Sketch a graph for each of the functions defined 6-9 below.
6.
g
(
x
)
=
⌈
x
⌉
for each real number x (Recall that the ceiling of
x
,
⌈
x
⌉
, is the least integer that is greater than or equal to x. That is.
⌈
x
⌉
=
the unique integer n such that
n
−
1
<
x
≤
n
.)
To determine
To graph:
The ceiling function of x for each x belongs to real number set.
Explanation
Given information:
The considered function g(x)=⌈x⌉, ceiling function of x has only integer values of n such that n−1<x≤n.
Graph:
The function g(x)=⌈x⌉ can be drawn as follows.