Does the equation represent Y as a function of x?
Definition 1.6. A relation in which each x-coordinate is matched with only one y-coordinate is said to describe y as a function of x. On the other hand, every x-coordinate in R2 occurs only once which means each x-coordinate has only one corresponding y-coordinate. So, R2 does represent y as a function of x.
How do you determine if a formula describes Y as a function of x?
2 Answers By Expert Tutors Yes, the formula describes y as a function of x since each x value has exactly one corresponding y value. “A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y” (University of Regina Math Central).
Does the equation x 2 y 1 define Y as a function of x?
1 Expert Answer This is a function because each value of x results in only one value of y.
What is the meaning of Y is a function of x?
The statement “y is a function of x” (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. “x causes y”), but does not *necessarily* exist. In turn, the number of classes you’re taking may be a function of your major.
What does not represent Y as a function of x?
The x value of a point where a vertical line intersects a function represents the input for that output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.
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.
How do you tell if an equation represents a function?
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.
Does the equation x 2 y 2 9 define Y as a function of x?
In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation. and therefore the equation 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.
Does the equation x 2 y 144 define Y as a function of x?
Question 1066040: does the equation x^2 + y^2= 144 define y as a function of x? No. This is a graph of a circle, where there are two values of y for a single point x. You may write this as y=+/- sqrt (144-x^2).
What does a graph look like when Y is a function of x?
For example, the graph of this function, drawn in blue, looks like a semi-circle. We know that y is a function of x because for each x-coordinate there is exactly one y-coordinate. If we draw a vertical line across the plot of the function, it only intersects the function once for each value of x.
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.