Considering the condition for a relation to be a function, we have that:
- These items represent functions: 2, 5, 9, 10B.
- These items do not represent functions: 7, 8, 10A.
When does a relation represents a function?
A graph represents a function if each value of the input is mapped to only one value of the output.
When does a graph represents a function?
A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
Hence:
- The table in item 2 represents a function, as each value of x is mapped to only one value of y.
- The relation in item 5 represents a function, as each value of x is mapped to only one value of y.
- The table in item 7 does not represent a function, as the input -4 is mapped to two outputs, -2 and 2.
- The relation in item 8 does not represent a function, as the input 1 is mapped to two outputs, -1 and 1.
- The graph in item 9 represents a function, as it has no vertically aligned points.
- The table A in item 10 does not represent a function, as the input -9 is mapped to multiple(four) outputs.
- The table B in item 10 represents a function, as each value of x is mapped to only one value of y.
More can be learned about relations and functions at https://brainly.com/question/12463448
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