If $$f(x)=x2sin$$⁡π$$x2$$,|x|<$$1x$$|x|,|x|≥$$1$$, then $$f(x)$$ is

Correct option is 2an odd function

Questions

$If f (x) = \{\begin{array}{cl} x^{2} \sin \frac{π x}{2}, & | x | < 1 \\ x | x |, & | x | \geq 1 \end{array}, then f (x) is$

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detailed solution

Correct option is B

f(−x)=(−x)2sin⁡π(−x)2,|−x|<1(−x)|−x|,|−x|≥1=−x2sin⁡πx2,|x|<1−x|x|,|x|≥1=−f(x)

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If f(x)=x2sin⁡πx2,|x|<1x|x|,|x|≥1, then f(x) is

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Ready to Test Your Skills?

free study material

$If f (x) = \{\begin{array}{cl} x^{2} \sin \frac{π x}{2}, & | x | < 1 \\ x | x |, & | x | \geq 1 \end{array}, then f (x) is$