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