1. Determine which of the following functions are one-one(i) f(x) =x +

1.	1. Determine which of the following functions are one-one(i) f(x) =x + 1 (ii) f(x) =x3 (iii) f(x) =x+1x1
Answer» i) f(x) = x+1 , is always increasing in its domain and it has exactly one value for each of its domain so it is one-one ii) f(x) = x³ , is also one - one ii) f(x) = x+\|x\| is 0 for all x ≤0 , so it is not one-one

1. Determine which of the following functions are one-one(i) f(x) =x + 1 (ii) f(x) =x3 (iii) f(x) =x+1x1

Answer»

i) f(x) = x+1 , is always increasing in its domain and it has exactly one value for each of its domain so it is one-one

ii) f(x) = x³ , is also one - one

ii) f(x) = x+|x| is 0 for all x ≤0 , so it is not one-one