Question

A function is said to be___if f(a)=f(b) implies a=b for all a and b in domain off
Select one
a One-to-many
b. One-to-One
c. Many to many
d. Many-to-one​

Answer 1

Answer:

A function is said to be one-to-many

Answer 2

Answer:

One - to -one

Step-by-step explanation:

Given: A function is said to be___if f(a)=f(b) implies a=b .

To determine the correct option.

A function is defined as a relation between a set of inputs having one output each.

One one function: A function f from A to B is called one-to-one if whenever f (a) = f (b) then a = b i.e; no element of B is the image of more than one element.

Onto function: If A and B are the two sets, if for every element of B, there is at least one or more element matching with set A.

By definition of one -one function we have:

A function is said to be one-to-one if f(a)=f(b) implies a=b for all a and b in domain.

Hence, option B is correct.

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