Suppose $f_{\alpha}\::\:[0,1]\rightarrow[0,1],\:-1<\alpha<\infty$ is given by
$$f_{\alpha}(x)=\dfrac{(\alpha+1)x}{\alpha x+1}.$$
Then $f_{\alpha}$ is
- A bijective (one-one and onto) function.
- A surjective (onto) function.
- An injective (one-one) function.
- We can not conclude about the type.