4.How can you tell if you have a function or not?*
Look for constant
The domain does not repeat
The range does not repeat
The vertical line test
3 answers
The most straightforward way to determine if you have a function or not is by applying the vertical line test. This means that for every unique x-value in the domain, there should be only one corresponding y-value in the range. If you can draw a vertical line that intersects the graph of the relation in more than one point, then it is not a function.
Answer whith the choices
To determine if you have a function or not, you can consider the following options:
1. Look for a constant: If the relation only consists of a single constant value, it is not considered a function.
2. The domain does not repeat: In a function, each input value (x-value) in the domain should correspond to exactly one output value (y-value) in the range. If any x-value is repeated with different y-values, it is not a function.
3. The range does not repeat: Similarly, in a function, each y-value in the range should correspond to only one x-value in the domain. If any y-value is repeated with different x-values, it is not a function.
4. The vertical line test: This is the most common method to determine if a relation is a function. If you can draw a vertical line on a graph of the relation and it intersects the graph in more than one point, then it is not a function. However, if the vertical line only intersects the graph at one point (even if it touches), then it is a function.
1. Look for a constant: If the relation only consists of a single constant value, it is not considered a function.
2. The domain does not repeat: In a function, each input value (x-value) in the domain should correspond to exactly one output value (y-value) in the range. If any x-value is repeated with different y-values, it is not a function.
3. The range does not repeat: Similarly, in a function, each y-value in the range should correspond to only one x-value in the domain. If any y-value is repeated with different x-values, it is not a function.
4. The vertical line test: This is the most common method to determine if a relation is a function. If you can draw a vertical line on a graph of the relation and it intersects the graph in more than one point, then it is not a function. However, if the vertical line only intersects the graph at one point (even if it touches), then it is a function.