False
True.
A function can never be a vertical line, because it then fails the definition of a function: every x value outputs only 1 y value. The vertical line test will determine if a relation is a function. If a vertical line intersects the graph of the function at more than one place, it is not a function.
true
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
This graph fails the vertical line test at x = 3This graph is not the graph of a function.
True
True.
False. X = 3 is a vertical line.
A function can never be a vertical line, because it then fails the definition of a function: every x value outputs only 1 y value. The vertical line test will determine if a relation is a function. If a vertical line intersects the graph of the function at more than one place, it is not a function.
One way is to try the vertical line test on a graph!
If a vertical line intersects the graph at more than one point then it is not a function.
This statement is false. A vertical line intersecting the graph of a relation at more than one point indicates that for at least one input value (x-coordinate), there are multiple output values (y-coordinates). Therefore, the relation does not satisfy the definition of a function, which requires that each input corresponds to exactly one output.
Yes it is.
true
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.
To determine if a relation is a function, you can use the "vertical line test." If any vertical line drawn on the graph of the relation intersects the graph at more than one point, then the relation is not a function. Additionally, in a set of ordered pairs, a relation is a function if each input (or x-value) corresponds to exactly one output (or y-value).
Rate of change of the "vertical" variable in relation to the "horizontal" variable.