Practicing Success
If $f:\left[0,\frac{π}{2}\right]→[0,∞)$ be a function defined by $y=\sin(\frac{x}{2})$, then f is |
injective surjective bijective none of these |
injective |
$y=\sin\frac{x}{2}$ $0≤x≤\frac{π}{2}⇒0≤\frac{x}{2}≤\frac{π}{2}⇒0≤\sin\frac{x}{2}≤\frac{1}{\sqrt{2}}⇒\left(0,\frac{1}{\sqrt{2}}\right)⊂[0,∞)$ |