Question
Define the function f: R $\rightarrow$ R by $y = f(x) = x^2, x $∈$ 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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