When Y is a function of x?
Note: A function defines one variable in terms of another. 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.
Does the equation x y2 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.
How is Y a function of x?
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 whether something is a function of x?
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.
Does y² x define y to be a function of x?
The answer is: the relation x = y2 is not a function.
What is the relation of X Y to Y X?
If x and y are two elements in these sets and if a relation exists between x and y, then x corresponds to y, or y depends on x. DEFINITION OF A FUNCTION: Let X and Y two nonempty sets. A function from X into Y is a relation that associates with each element of X, exactly one element of Y.
How do you know whether an equation is a function?
How do you determine whether it is a function or not?
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.
Does the relation represent Y as a function of x?
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.
Is X² y² 9 a function?
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.
