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

Vertical line test: If it is not possible to draw a vertical line to touch the graph of a function in more than one place, then y is a function of x. For Example: Use the vertical line test to determine if the graph depicts y is a function of x.

Can y be a function of x?

In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

What is Y as a function of x?

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.

What does write Y as a function of X mean?

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.

Is y a function of X and why?

A function is a relation in which each input has only one output. In the relation , y is a function of x , because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2 .

Does this relation define y as a function of X?

defines y as a function of x, because for every x value there is no more than a y value. (In fact for every x there is exactly one y value). We can forgive a function if some values of x do not have a y, but if there is more than one y for even one value of x, then the relation is not a function.

When is y a function of X?

We know that y is a function of x when every x value has one unique y value. For example, if these points were in a function: (0,0) (1,0) (2,6), this would be a function because every x value has a unique y value.