Consider the function f:\mathbb{R}\rightarrow \mathbb{R} such that f(x)=x^2 for x \in\mathbb{Q} and f(x)=x^3 for x \in \mathbb{R}-\mathbb{Q} . Which of the following statements are True?

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In24-S1-MA1014 - Mathematics
Consider the function f:\mathbb{R}\rightarrow \mathbb{R} such that f(x)=x^2...

Consider the function f:\mathbb{R}\rightarrow \mathbb{R} such that f(x)=x^2...

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Consider the function $f:\mathbb{R}\rightarrow \mathbb{R}$ f:\mathbb{R}\rightarrow \mathbb{R} such that f(x)=x^2 for $x \in\mathbb{Q}$ x \in\mathbb{Q} and f(x)=x^3 for $x \in \mathbb{R}-\mathbb{Q}$ x \in \mathbb{R}-\mathbb{Q} . Which of the following statements are True?