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 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).
How do you tell 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.
Why is Y 1 x not a function?
Explanation: y=1x is NOT a continuous function. This function has a point of discontinuity at x=0 . This is because we cannot have 1/0, so there becomes an asymptote.
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.
Does the equation x 2 y 2 36 define Y as a function of x?
Since for every value of y, x has two possible values, so the given relation is not a function .
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 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.
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.