A function cannot have multiple outputs (y-values) for any given input (x-values). For example, y=2x+3 is a function because no mater what number x represents, there is a single, unique y-value (When x=3 y=9 ). In other words, you can never have two (or more) y-values that correspond to a single x-value. Therefore, a vertical line, for example x=2, cannot be a function because it has an infinite amount of y-values for a single x-value. A horizontal line is a function because there is only one y-value for any given x-value. For example, y=3. No mater what x-value is used, there is only one y-value possible (in this case, y will always equal 3). I am, of course, referring to the cartesian coordinate system, also known as the rectangular coordinate system.
Yes the graph of a function can be a vertical or a horizontal line
Normally the input is on the horizontal axis and the output on the vertical axis.
Time on horizontal, Distance on Vertical
Cannot exist. And a vertical graph is simply a vertical graph!
The convention for an x-y graph is as follows: y | | |_____ x where the x-axis is horizontal and the y-axis is vertical.
Yes the graph of a function can be a vertical or a horizontal line
Yes the graph of a function can be a vertical or a horizontal line
Yes the graph of a function can be a vertical or a horizontal line
The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.
Not quite. You can use a vertical line test on the graph of the inverse mapping, OR you can use a horizontal line test on the original graph. The horizontal line test is used in the same way.
In MATLAB, you can insert vertical or horizontal lines on a graph by using the xline or yline functions, respectively. For example, to add a vertical line at ( x = a ), use xline(a, 'r--'), and for a horizontal line at ( y = b ), use yline(b, 'g--'). These lines can help you visually test if a given relation defines a function by checking if any vertical line intersects the graph at more than one point (the vertical line test).
Normally the input is on the horizontal axis and the output on the vertical axis.
Along the horizontal axis, or the vertical axis if there are two variables that cannot be controlled.
The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.
Time on horizontal, Distance on Vertical
In vertical transformations every point on a graph is shifted upwards by a fixed number of points. In a horizontal transformation, every point on a graph is shifted along the x-axis a certain number of points.
Cannot exist. And a vertical graph is simply a vertical graph!