Question
Define the function $f: R \rightarrow R$ by $y = f(x) = x^2, x \in R$. Complete the Table given below by using this definition. What is the domain and range of this function? Draw the graph of f.
$x$ $– 4$ $–3$ $–2$ $–1$ $0$ $1$ $2$ $3$ $4$
$y = f(x) = x^2$                  

Answer

The completed table is 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 $f = \{x^2: x \in R\}$. The graph of f is given by the figure shown below:

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