Question

Draw the graph of these functions.

$\begin{array}{r}\left(\mathrm{a}\right)\mathrm{f}\left(\mathrm{x}\right)=\lfloor \mathrm{x}+1/2\rfloor \\ \left(\mathrm{b}\right)\mathrm{f}\left(\mathrm{x}\right)=\lfloor 2\mathrm{x}+1\rfloor \\ \left(\mathrm{c}\right)\mathrm{f}\left(\mathrm{x}\right)=\lfloor \mathrm{x}/3\rfloor \\ \left(\mathrm{d}\right)\mathrm{f}\left(\mathrm{x}\right)=\lceil 1/\mathrm{x}\rceil \\ \left(\mathrm{e}\right)\mathrm{f}\left(\mathrm{x}\right)=\lceil \mathrm{x}-2\rceil +\lfloor \mathrm{x}+2\rfloor \\ \left(\mathrm{f}\right)\mathrm{f}\left(\mathrm{x}\right)=\lfloor 2\mathrm{x}\rfloor \lceil \mathrm{x}/2\rceil \\ \left(\mathrm{g}\right)\mathrm{f}\left(\mathrm{x}\right)=\lceil \lfloor \mathrm{x}-1/2\rfloor +1/2\rceil \end{array}$

Short answer

b)

c)

d)

e)

f)

g)

Step-by-step solution

Step: 1

Step: 3