Mark the correct alternative in each of the following: The function f : R → R defined by f(x) = 2 x + 2 |x| is

Question

Philoid · Accepted Answer

Given that f: R → R where f(x) = 2^x + 2^|x|

Here, for each value of x we will get different value of f(x).

So, it is one-one.

Also, f(x) is always positive for x ϵ R.

There is no x ϵ R for which f(x) ϵ (-∞, 0).

So, it is into.

Hence, the given function is one-one and into.