Q. 45.0( 1 Vote )
Mark the correct A. one-one and onto
B. many-one and onto
C. one-one and into
D. many-one and into
Given that f: R → R where f(x) = 2x + 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.
Rate this question :