Let N denote the set of all non-negative integers and Z denote th
| Let N denote the set of all non-negative integers and Z denote the set of all integers. The function f : Z → N given by f(x) = |x| is :
A. One-one but not onto
B. Onto but not one-one
C. Both one-one and onto
D. Neither one-one nor onto
Please scroll down to see the correct answer and solution guide.
Right Answer is: B
SOLUTION
f : Z N and f(x) = |x|
when we draw a parallel line to x-axis.
Then,
It cuts the curve into more than one point.
Therefore, f(x) = |x| is not one-one.
