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Chapter 7: Problem 87

What is a function?

Short Answer

Expert verified
In mathematics, a function is a rule that associates members of one set with members of another set, each input has exactly one output, and they are used broadly in many areas to describe various phenomena.

Step by step solution

01

Defining function

In mathematics, a function is a rule that uniquely associates members of one set with members of another set. More specifically, a function from A to B is an object f that is associated to each a in A precisely one b in B. The set A is called the domain, and the set B the codomain of the function.
02

Displaying how a function operates

To understand it easily, think of a function as a machine. It takes inputs from a given set (domain) and produces outputs (only one output for each input) for these inputs from another set (codomain). For example, consider a function that squares a number. If we input 2, we get an output 4.
03

Discussing the significance of function

Functions are a fundamental concept in mathematics and are used in many areas both within mathematics itself and in many applied areas such as physics, engineering, economics etc. They allow us to describe change, motion, and many other real-world phenomena.

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Most popular questions from this chapter

Graph each linear inequality. \(y<-\frac{1}{4} x\)

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