Question

Which one of the following graphs is the graph of:3if> 01 ifx = 0 ?1 ifx < 0f(x) =OAB.▸4I-

Answer 1

The piecewise function is given to be:

`f(x)=\begin{cases}{3\text{ if }x>0} \\ {1\text{ if }x=0} \\ {x-1\text{ if }x<0}\end{cases}`

For the first part, we have the following graph:

`\begin{gathered} f(x)=3 \\ if \\ x>0 \end{gathered}`

For the second part, we have the following graph:

`\begin{gathered} f(x)=1 \\ if \\ x=0 \end{gathered}`

For the third part, we have the graph:

`\begin{gathered} f(x)=x-1 \\ if \\ x<0 \end{gathered}`

Therefore, OPTION C is correct.