# Which of the following represents a function

## What is a represent a function?

Function Notation. The notation

**y=f(x)**defines a function named f. This is read as “y is a function of x.” The letter x represents the input value, or independent variable. The letter y, or f(x), represents the output value, or dependent variable.## What represents function example?

Key Points

A function can be represented verbally. For example, the **circumference of a square is four times one of its sides**. A function can be represented algebraically. For example, 3x+6 3 x + 6 .

## How do you know what represents a function?

**Use the vertical line test**to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

## Which of the following examples represents one to one function?

A one-to-one function is a function of which the answers never repeat. For example, the

**function f(x) = x + 1**is a one-to-one function because it produces a different answer for every input.## What are the 5 representations of a function?

5 representations of a function:

**Graph, Table, Symbols, Words, & Picture/context**. A recursive relationship represents the slope of the line in the equation. For example, in this equation, the recursive relationship is 3. 5 representations of a function: Graph, Table, Symbols, Words, & Picture/context.## What is on to function?

In mathematics, an onto function is a function f that

**maps an element x to every element y**. That means, for every y, there is an x such that f(x) = y. Onto Function is also called surjective function. The concept of onto function is very important while determining the inverse of a function.## What is a many to one function?

In general,

**a function for which different inputs can produce the same output**is called a many-to-one function. … If a function is not many-to-one then it is said to be one-to-one. This means that each different input to the function yields a different output. Consider the function y(x) = x3 which is shown in Figure 14.## Which of the following function is one to one?

A

**function f**is 1 -to- 1 if no two elements in the domain of f correspond to the same element in the range of f . In other words, each x in the domain has exactly one image in the range. … If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 .## How do you write a function?

A function f: A -> B is called an onto function if the range of f is B. In other words, if each b ∈ B there exists at least one a ∈ A such that.

**f(a) = b**, then f is an on-to function.## How many types of functions are explained?

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. Based on Domain: Algebraic Functions, Trigonometry functions, logarithmic functions.## What are the polynomial function?

A polynomial function is

**a function that involves only non-negative integer powers or only positive integer exponents of a variable**in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.## What is equation and function?

A function is an expression, a formula. An equation is two expressions with an equal sign in between. So 2x + 1 is an expression that could be named f(x).

**F(x) = 2x +1**is an equation, that happens to define a function.## What are four examples of functions?

we could define a function where the domain X is again the set of people but the codomain is a set of number. For example ,

**let the codomain Y be the set of whole numbers**and define the function c so that for any person x , the function output c(x) is the number of children of the person x.## Which keyword is used for function?

the def keyword

Explanation: Functions are defined using the

**def keyword**.## What are the basic functions?

The basic polynomial functions are:

**f(x)=c, f(x)=x, f(x)=x2, and f(x)=x3**. The basic nonpolynomial functions are: f(x)=|x|, f(x)=√x, and f(x)=1x. A function whose definition changes depending on the value in the domain is called a piecewise function. The value in the domain determines the appropriate definition to use.## Which is an example of function?

**f(x) = x**shows us that function “f” takes “x” and squares it. Example: with f(x) = x

^{2}^{2}: an input of 4. becomes an output of 16.