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  4. The graph of the function f: R arrow R defined by f(x)=x3, x ∈ R, is

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Q. The graph of the function $f: R \rightarrow R$ defined by $f(x)=x^3, x \in R$, is

Relations and Functions

Solution:

We have, $f(0)=0, f(1)=1, f(-1)=-1, f(2)=8$, $f(-2)=-8, f(3)=27 ; f(-3)=-27$ etc.
Therefore, $f=\left\{\left(x, x^3\right): x \in R\right\}$
The graph of $f$ is given by,

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