Practicing Success
The range of the function $f(x)=\sin[x],-\frac{π}{4}<x<\frac{π}{4}$, where [x] denotes the greatest integer ≤ x is |
{0} {0, -1} $\{0, ±\sin 1\}$ $\{0, -\sin 1\}$ |
$\{0, -\sin 1\}$ |
When $-\frac{π}{4}<x<0⇒-1<-\frac{π}{4}<x⇒[x]=-1$ $⇒y=\sin(-1)=-\sin 1$, when $0≤x<\frac{π}{4}<1⇒[x]=0$ $y=\sin 0=0$ |