To determine if the given information represents a function, we need to check for each input (or domain element) whether there is a unique output (or range element). A function is defined such that each input is associated with exactly one output.
From your description:
- The mapping is as follows:
- 8 maps to 2
- 6 maps to 2
- 5 maps to 2
- 7 maps to 3
- There is no mapping for -1.
Since the inputs 8, 6, and 5 all map to the same output (2) without any conflicts, and 7 maps to a different output (3), we need to take these into account:
- Each of the inputs (8, 6, 5, 7) gives exactly one corresponding output.
- The input -1 has no mapping, which means it cannot be associated with an output.
Thus, the mappings show that for all inputs that actually exist in the domain, they are correctly associated with outputs.
Now we can summarize the domain and range:
-
Domain: The inputs that are given:
- {8, 6, 5, 7}
-
Range: The outputs that those inputs yield:
- {2, 3} (because 8, 6, and 5 all go to 2, and 7 goes to 3)
Therefore, the answer is:
Yes, it is a function. The domain is the set {8, 6, 5, 7}. The range is the set {2, 3}.
Given the options you provided, none of them accurately reflect this conclusion. If it must pick from the provided conclusions, it seems none are correct considering the corrected domain and range.