Q. The graph of the function $f: R \rightarrow R$ and $f(x)=x^2$, $x \in R$, is
Relations and Functions
Solution:
First construct the table given below
$X$
-4
-3
-2
-1
0
1
2
3
4
$y=f(x)=x^2$
16
9
4
1
0
1
4
9
16
Domain of $f=\{x: x \in R\}$. Range of $f=\left\{x^2: x \in R\right\}$. The graph of $f$ is given by,
| $X$ | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 |
| $y=f(x)=x^2$ | 16 | 9 | 4 | 1 | 0 | 1 | 4 | 9 | 16 |
