A relation is a function when an x value only has one y value associated with it. An easy way to tell this is to graph the relation, then draw a vertical line through it. If, at any point, it touches the graph twice, the relation isn't a function.
If a vertical line intersects the graph at more than one point then it is not a function.
A relation is also a function if each member of the domain (or x-coordinate) is paired with only one member of the range (or y-coordinate). If the relation is a set of ordered pairs that consists of real numbers a graph can be created to visualize the relation. If a vertical line can be drawn and only crosses or intersects the graph at one point then the relation is also a function.
One way is to try the vertical line test on a graph!
7
If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!
Does the graph above show a relation, a function, both a relation and a function, or neither a relation nor a function?
A relation is a function when an x value only has one y value associated with it. An easy way to tell this is to graph the relation, then draw a vertical line through it. If, at any point, it touches the graph twice, the relation isn't a function.
If a vertical line intersects the graph at more than one point then it is not a function.
True.
A relation is also a function if each member of the domain (or x-coordinate) is paired with only one member of the range (or y-coordinate). If the relation is a set of ordered pairs that consists of real numbers a graph can be created to visualize the relation. If a vertical line can be drawn and only crosses or intersects the graph at one point then the relation is also a function.
Range
A graph that is not a function, fails the vertical line test. You can draw it by connected all ordered pair of points in a rectangular coordinate system.
One way is to try the vertical line test on a graph!
7
true
You use the "vertical line test". If anywhere you can draw a vertical line that goes through two points of the graph, the relation is not a function; otherwise, it is a function. This is just another way of saying that in a function for every x value (input) there is AT MOST one y value (output).