Question

Let $A=B=[-1,1].$ state whether the following functions from $A$ into $B$ are one-one.
i)$h\left(x\right)=\sin \pi x$

Answer 1

Solution -

i) $h\left(x\right)=sin\pi x$ is not one - one in $[-1,1]\to [-1,1]$

because $h\left(\frac{1}{4}\right)=h\left(\frac{3}{4}\right).$

and also so many values.