The function f is defined by f(x)=

Question:

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

Solution:

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: