To determine the domain and range of a function \( f \), you typically need a diagram that shows the sets of input values (domain) and corresponding output values (range).
Given that I don't have access to the diagram you are referring to, I can provide you with some general guidance on how to find the domain and range:
Domain
The domain of the function consists of all the input values for which the function is defined. In a diagram, these are the values that map to an output in the function.
To find the domain:
- Look for all input values (the x-values) indicated in the diagram.
- List these values in set notation.
Range
The range of the function consists of all output values produced by the function from the input values in the domain.
To find the range:
- Identify all output values (the y-values) shown in the diagram.
- List these values in set notation.
Example
If you have specific values (like the numbers you provided: 6, 15, 7, 23, 19), you might interpret them this way:
- If 6 corresponds to an input, it would be part of the domain.
- If 15, 7, 23, and 19 correspond to outputs, they would be part of the range.
Assuming:
- Domain: {6, 7}
- Range: {15, 19, 23}
Your answer would be:
- Domain: {6, 7}
- Range: {15, 19, 23}
If you provide more specific details or context from the diagram, I can help you find the exact domain and range of the function \( f \).
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