Not calculus, but correct.
This is known as the vertical line test and is used to teach the basics of defining a function.
It is the point where the curve (i.e. line) intersects the vertical axis or the y-axis. ... or when x=0.
A graph intersects the y-axis at the y-intercept; its x value is zero.
On your graph, draw a vertical line through the point on the x-axis where [ x = -2 ]." X is less than or equal to -2 " is every point on that line and everything to the left of it.
The main way that a graph can be defined as a function is if it passes the vertical line test; this means that each individual x must correspond to one specific value of y. In the situation you mentioned, we don't know if the graph in question really is a function, because we only see the point at y; we don't know if the graph loops around on itself and fails the vertical line test at any other point.
An undefined graph typically occurs when there is a division by zero in a mathematical equation, resulting in an infinite or undefined value. In a graph, this would manifest as a vertical line or asymptote where the function approaches infinity or negative infinity. This can happen, for example, when plotting the graph of a rational function where the denominator equals zero at a certain point.
A-If there exists a vertical line that intersects the graph at exactly one point, the graph represents a function.B-If there exists a vertical line that intersects the graph at exactly one point, the graph does not represent a function. C-If there exists a vertical line that intersects the graph at more than one point, the graph represents a function.-DIf there exists a vertical line that intersects the graph at more than one point, the graph does not represent a function
If a vertical line intersects the graph at more than one point then it is not a function.
True.
There is a method called a vertical line test. A function is defined as a system that has one output for each input. Therefore for every x, there is only one y. So if you draw a vertical line anywhere and you get more than one point that intersects the graph, it is not a function. If it intersects only once, the graph is a function.
take a vertical line, if another line intersects that vertical line at 2 points, then it is a function.In other words,a graph represents a function if each vertical line meets its graph in a unique point.
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.
An x-intercept is the point where a function intersects the x-axis on a Cartesian coordinate plane. For example, if the graph of a parabola is plotted and the graph intersects the x-axis on the coordinate plane, the point(s) where the graph intersects the x-axis are the x-intercepts for that function.
It is the point where the curve (i.e. line) intersects the vertical axis or the y-axis. ... or when x=0.
A graph can represent either a relation or a function, depending on the nature of the relationship between the variables depicted. A relation is simply a set of ordered pairs, while a function is a specific type of relation where each input (or x-value) is associated with exactly one output (or y-value). To determine if a graph represents a function, the vertical line test can be applied: if any vertical line intersects the graph at more than one point, it is not a function.
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).
The point at which a function crosses the x-axis.
To test if a storage tank is a function you can use the vertical line test (i.e. if a vertical line can be drawn through the storage tank where it intersects more than one point it is NOT a function). For example: function= vuvu non-function= void (A vertical line intersects two parts of the 'd' and 'o'.)