If displaystyle f-x-begin-cases-x-2-sindfrac-pi x-2- -x- 1 x-x- -x-geq 1 end-cases- then f-x- is an even functionan odd functiona periodic functionnone of these

Question

Toppr Admin · Accepted Answer

For-x-lt-1f-x-x2-sin-x3C0-x2-

If $f (x) = {\begin{matrix} x^{2} sin \frac{π x}{2} & | x | < 1 x | x | & | x | \geq 1 \end{matrix}$ then $f (x)$ is
an even function
an odd function
a periodic function
none of these

$F o r | x | < 1$
$f (x) = x^{2} (sin \frac{π x}{2})$

If f(x)={x2sinπx2|x|<1x|x||x|≥1 then f(x) is an even functionan odd functiona periodic functionnone of these

For|x|<1f(x)=x2(sinπx2)

If $f (x) = {\begin{matrix} x^{2} sin \frac{π x}{2} & | x | < 1 x | x | & | x | \geq 1 \end{matrix}$ then $f (x)$ is
an even function
an odd function
a periodic function
none of these

$F o r | x | < 1$
$f (x) = x^{2} (sin \frac{π x}{2})$