Question

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

Answer 1

Here,
f (x) = 1 – x for x < 0. So,
f ($-$ 4) = 1 – ( $-$ 4) = 5
f ($-$ 3) = 1 – ( $-$ 3) = 4
f ($-$2) = 1 – ( $-$ 2) = 3
f ($-$1) = 1 – ($-$ 1) = 2 etc.

Also, f(x) = 1 for x = 0.

Lastly, f (x) = x + 1 for, x > 0.
and f (1) = 2, f (2) = 3, f (3) = 4, f (4) = 5 and so on.

Thus, the graph of f is as shown below: