# F is Continuous or not?

**Calculus**Level 4

\[ \large \color{darkblue}{f(x)} = \begin{cases}\color{red}{ 2x^2 }&&;&& \text{if x is rational} \\ \color{orange}{0} &&;&&\text{if x is irrational} \end{cases}\]

Then,

\[ \large \color{darkblue}{f(x)} = \begin{cases}\color{red}{ 2x^2 }&&;&& \text{if x is rational} \\ \color{orange}{0} &&;&&\text{if x is irrational} \end{cases}\]

Then,

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