Define the function $f: R \rightarrow R$ by $y = f(x) = x^2, x \in R$. Complete the table given below using this definition. What are the domain and range of this function? Also,draw the graph of $f$.
$x$ $-4$ $-3$ $-2$ $-1$ $0$ $1$ $2$ $3$ $4$ $y = f(x) = x^2$
| $x$ | $-4$ | $-3$ | $-2$ | $-1$ | $0$ | $1$ | $2$ | $3$ | $4$ |
| $y = f(x) = x^2$ |
(N/A) The completed table is as follows:
Domain of $f = R$ (the set of all real numbers).
Range of $f = [0, \infty)$ (the set of all non-negative real numbers).
| $x$ | $-4$ | $-3$ | $-2$ | $-1$ | $0$ | $1$ | $2$ | $3$ | $4$ |
| $y = f(x) = x^2$ | $16$ | $9$ | $4$ | $1$ | $0$ | $1$ | $4$ | $9$ | $16$ |
Domain of $f = R$ (the set of all real numbers).
Range of $f = [0, \infty)$ (the set of all non-negative real numbers).
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