Question

The function $f$ is defined by $f\left(x\right)=\{\begin{array}{cc}1-x,& x<0\\ 1,& x=0\\ x+1,& x>0\end{array}$ Draw the graph of $f\left(x\right)$.

Answer 1

Draw Graph: Given:$f\left(x\right)=\{\begin{array}{cc}1-x,& x<0\\ 1,& x=0\\ x+1,& x>0\end{array}$
put $x=0\Rightarrow y=1$
put $x=1\Rightarrow y=1+1=2\because x>0$
put $x=2\Rightarrow y=2+1=3$
put $x=-1\Rightarrow y=1-(-1)=2\because x<0$
put $x=-2\Rightarrow y=1-(-2)=3$