Question

Explain and apply the notion of a function. csc 333

A. Define a function as a relation between two sets with each element of the domain related to exactly one element of the range.
B. Describe a function as any mathematical operation.
C. State that functions and relations are interchangeable concepts.
D. Argue that functions do not have to be related to sets.

Answer 1

A function is a mathematical concept that describes a relationship between two sets, where each element in the domain is related to exactly one element in the range. Functions can be represented in different ways, such as algebraic equations or verbal descriptions.

Step-by-step explanation:

A function is a mathematical concept that describes a relationship between two sets, where each element in the domain is related to exactly one element in the range. This means that each input value in the domain has a unique output value in the range. Functions can be represented in different ways, such as algebraic equations or verbal descriptions. For example, the relationship 'your professor is Adam Smith' can be expressed as Professor = Adam Smith.