Q. The graph of real value of function $f: R-\{0\} \rightarrow R$ defined by $f(x)=\frac{1}{x}, x \in R-\{0\}$, is
Relations and Functions
Solution:
First construct the table given below
$X$
-2
-15
-1
− 0 .5
0 .25
0.5
1
1.5
2
$y=\frac{1}{x}$
-0.5
-0.67
-1
-2
4
2
1
0.67
0.5
The domain is all real numbers except 0 and its range is also all real numbers except 0 . The graph of $f$ is given by,
| $X$ | -2 | -15 | -1 | − 0 .5 | 0 .25 | 0.5 | 1 | 1.5 | 2 |
| $y=\frac{1}{x}$ | -0.5 | -0.67 | -1 | -2 | 4 | 2 | 1 | 0.67 | 0.5 |
