Define the function f: R R by y = f(x) = x2, x ∈ R. Complete the … - Vidyadip

Question

Define the function f: R $\rightarrow$ R by y = f(x) = x², 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) = x²

✓

Answer

The completed table is given below:

x	– 4	–3	–2	–1	0	1	2	3	4
y = f (x) = x²	16	9	4	1	0	1	4	9	16

Domain of f = {x : x $\in$ R}. Range of f = {x²: x $\in$ R}. The graph of f is given by the figure shown below:

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