# Characteristics of functions answer key

## What are the key characteristics of a function?

A function is a relation in which

**each possible input value leads to exactly one output value**. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.## What is function Short answer?

A function is defined as

**a relation between a set of inputs having one output each**. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.## What are the 4 key features of a function?

Key features include:

**intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity**.## What are the characteristics of a function on a graph?

A graph represents a function if

**any vertical line drawn on the graph intersects the graph at no more than one point**. A graph represents a one-to-one function if any horizontal line drawn on the graph intersects the graph at no more than one point.## What are the 4 types of functions?

The types of functions can be broadly classified into four types. Based on Element:

**One to one Function, many to one function, onto function, one to one and onto function, into function**.## What are the characteristics of a linear function?

Linear functions are those whose graph is a straight line. A linear function has

**one independent variable and one dependent variable**. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.## How do you define a function?

function, in mathematics,

**an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)**.## Are characteristics and functions same?

Answer. is that

**characteristic is a distinguishable feature of a person or thing while function is what something does or is used for.**## What is the function in math?

function, in mathematics,

**an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)**. Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.## What is function science?

The function of a something pertains to what it does or to what it is used for. In biology, the function pertains to

**the reason in which an object or a process occurs in a system**. It evolved through a process of selection or natural selection.## What is the function in computer?

A function is simply

**a “chunk” of code that you can use over and over again, rather than writing it out multiple times**. Functions enable programmers to break down or decompose a problem into smaller chunks, each of which performs a particular task.## Why is a function a function?

A function is a relation in which

**each input has only one output**. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.## What is the example of function?

A function is a kind of rule that, for one input, it gives you one output. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.

## How do you write a function?

You write functions

**with the function name followed by the dependent variable**, such as f(x), g(x) or even h(t) if the function is dependent upon time. You read the function f(x) as “f of x” and h(t) as “h of t”. Functions do not have to be linear.