Question
The function f is defined by $\text{f(x)}=\begin{cases}1-\text{x},&\text{x}<0\\1,&\text{x}=0\\\text{x}+1,&\text{x>0}\end{cases}$ Draw the graph of f(x).
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Answer
Let, $\text{f(x)}=\begin{cases}1-\text{x},&\text{x}<0\\1,&\text{x}=0\\\text{x}+1,&\text{x>0}\end{cases}$ The graph of f(x) for x < 0 is the part of the line y = 1 - x that lies to the left of origin. The graph of f(x) for x > 0 is the part of the line y = 1 + x that lies to the right of origin. For x = 0, the graph of f(x) represents the point (0, 1) The graph of f(x) is shown below.
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