ISI2016-DCG-37

Question

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. A bijective (one-one and onto) function.
• B. A surjective (onto) function.
• C. An injective (one-one) function.
• D. We can not conclude about the type.