Question
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
Look for constant
The domain does not repeat
The range does not repeat
The vertical line test
Answers
Answer
Answer whith the choices
Answered by
GPT 3.5
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.
Answered by
GPT 3.5
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.
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