Question

In a function from set A to set B , every element of set A has _______ image in set B. (a) one and only one (b) different (c) same (d) many​

Answer 1

Answer:

• A. In a function from set A to Set B, Every Element of set A has One and only one image in set B

Answer 2

In a function from set A to set B, every element of set A has (a) one and only one image in set B.

Functions:

• A relation between two sets A and B is shown to be a function if each element of set A has one and only one image in set B.
• Suppose A and B are nonempty sets. A function from A to B is a rule that assigns a unique element in B to each element of A.
• The function's domain is A, and its codomain is B.
• Whereas if a function is called f, the syntax is $f: A- > B$.
• Given x∈A, the associated element in B is referred to as its image under f.
• In other statements, a function is a relation from A to B with the situation that there exists a distinctive image in the codomain for each element in the domain.
• We write it as f(x), which is declared " f of x ".