Yes, you can consider it a relation between the points on the x-axis, and the points on the y-axis. In fact, ANY subset of R squared (in other words, any subset of the points on a plane), including the empty set, sets that contain single points, and larger sets, can be considered a relation in R squared (i.e., two sets of real numbers).
Yes it is, but it is not a function.
A vertical line. Remember that one test to see if a relation is a function is the vertical line test. A vertical line would fail that of course.
True.
True
a vertical line
In mathematics, a relation is not considered a function if it assigns multiple outputs to a single input. For example, the relation that maps a number to both its positive and negative square roots (like 4 to both 2 and -2) fails the vertical line test, which states that if a vertical line intersects a graph at more than one point, then the relation is not a function. Additionally, any relation that does not maintain a consistent output for every input is also not classified as a function.
Vertical
a line that goes up and down
Yes, relations can pass the vertical line test if they are functions. The vertical line test states that if a vertical line intersects a graph at more than one point, the relation represented by the graph is not a function. Therefore, for a relation to pass the vertical line test, each input (or x-value) must correspond to exactly one output (or y-value). If it meets this criterion, it can be classified as a function.
The vertical line test is a method used in mathematics to determine if a curve or graph represents a function. According to this test, if a vertical line drawn anywhere on the graph intersects the curve at more than one point, then the graph does not represent a function. This is because a function can only have one output (y-value) for each input (x-value). Thus, passing the vertical line test confirms that a relation is indeed a function.
False
One way is to try the vertical line test on a graph!