#### Determine whether the equation defines y as a function of x

## How do you tell if Y is a function of x in an equation?

The phrase “y is a function of x” means that the value of y depends upon the value of x, so:y can be written in terms of x (e.g. y = 3x ).If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x”s by 4″s .

## How do you determine if an equation is a function of x?

It is relatively easy to determine whether an equation is a function by solving for y. When you are given an equation and a specific value for x, there should only be one corresponding y-value for that x-value. For example, y = x + 1 is a function because y will always be one greater than x.

## What does Y as a function of X mean?

The statement “y is a function of x” (denoted y = y(x)) means that y varies according to whatever value x takes on.

## Is x =- 4 a function?

The graph of x = -4 is a vertical line that passes through -4 on the x axis. This is NOT a function because it fails the vertical line test. Any vertical line is NOT a function.

## Does the equation x/y 2 define Y as a function of x?

A function is a relatioship between two variables broadly. The answer is: the relation x = y2 is not a function.

## Is x =- 2 A function?

NO. X=2 is not a function because this represents a line parallel to y axis and passing through the point (2,0). there are infinite number of points on this line so at X=2 ,y has infinite number of values. To be a function -for any X there must be only one value of y.

## Is x =- 3 a function?

1 Answer. No. The equation x=3 represents a vertical line and not a mapping from values of x to values of y .

## What are the 3 parts of a function?

We will see many ways to think about functions, but there are always three main parts:The input.The relationship.The output.

## What does X Y mean?

(x,y) has the meaning of an aplication from R to R in which to every element x, the aplication asingns the y element. (x,y) has the meaning of plane’s point coordinates. The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates.

## Is Y 1 a function of x?

For example, y = x + 1 is a function because y will always be one greater than x.