"In order for a function to be one-on-one, no two elements of the domain may be paired with the same value of the range" True or False?

Question

asked Dec 9, 2017 107k views

2 Answers

DRCB · Answer 1 · 2017-12-10T20:02:09+0000

In order for a function to be one-on-one, no two elements of the domain may be paired with the same value of the range is true 100%

JD Courtoy · Answer 2 · 2017-12-16T02:48:09+0000

The given statement:

"In order for a function to be one-on-one, no two elements of the domain may be paired with the same value of the range"

is a TRUE statement.

A function is said to be one-one if each value of first set is mapped to a unique value of the other set.

i.e. no two points of the domain has the same image i.e. no two elements is paired to same value of the range.

Also, such a function passes the horizontal line test.

i.e. when any line passing through the co-domain and parallel to the x-axis should intersect the graph atmost once.

Hence, the given statement is a True statement.