Determine whether each of these functions is a bijection from R to R

Step 1 :

We have to check weather the following function are bijection from .

given functions are

(a)

Ans :

First check the given function is one-one

Such that

.’. The given function is one-one.

next we to check the onto

In the given function the range is real numbers

.’. The function is onto

Hence the function is bijective.

Step 2 :

(b)

Ans :First check the given function is one-one

consider

we can have the same values of even the different values of x,

.’. the function is not one one

Hence the function is not bijective.