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.
The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, the graph does not represent a function, as this indicates that a single input (x-value) corresponds to multiple outputs (y-values). Conversely, if every vertical line intersects the graph at most once, it confirms that the graph is a function.
True.
To determine if a graph represents a function, you can use the vertical line test. If any vertical line drawn on the graph intersects it at more than one point, then the graph does not represent a function. In contrast, if every vertical line intersects the graph at most once, then it is a function. This test helps ensure that each input (x-value) corresponds to exactly one output (y-value).
To determine whether a graph represents a function, you can use the vertical line test. If any vertical line drawn on the graph intersects the curve at more than one point, the graph does not represent a function. This is because a function must assign exactly one output value for each input value. If every vertical line intersects the graph at most once, then it is a function.
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.
To determine if a line on a graph represents a function, you can use the vertical line test. If any vertical line drawn through the graph intersects the line at more than one point, then it is not a function. Conversely, if every vertical line intersects the graph at most once, it confirms that the line is indeed a function. This test helps ensure that each input (x-value) corresponds to exactly one output (y-value).
To determine if a line on a graph represents a function, you can use the vertical line test. If a vertical line intersects the graph at more than one point, then the graph does not represent a function, as it would indicate that a single input (x-value) corresponds to multiple outputs (y-values). Conversely, if every vertical line crosses the graph at most once, the graph represents a function.
In mathematics, "vlt" typically stands for "vertical line test." This is a method used to determine if a curve or graph represents a function. According to the vertical line test, if a vertical line intersects the graph at more than one point, then the graph does not represent a function, as it would imply that a single input has multiple outputs.