Hello there! The answer would be the first one, or No. At least one output results in two inputs.
When dealing with functions: you must remember that x does not repeat. So, lets look at the relation given, {(6, 1), (8, –3), (6, 7)}. You can see that x does repeat, so this is not a function. This eliminates second and fourth option choices. Out of the options A and C, A would be your choice since x is the input value and y is the output value, and there are two input values.
Hope his helps and have a great day!
Since the input '6', gives two outputs, the given relation is not a function. The option showing this is the 3rd option "No. At least one input results in two outputs.".
Functions are relations between dependent variables and independent variables, where every independent variable as input, gives a single dependent variable as the output.
In the question, we are asked to determine whether the relation {(6, 1), (8, –3), (6, 7)}, is a function or not.
For a relation to be a function, as we know, there should only be a single dependent variable as output for every independent variable as input.
In the given relation, {(6, 1), (8, –3), (6, 7)}, for the independent variable '6' as an input, we get dependent variables '1' and '7' as output.
Thus, we can conclude that since the input '6', gives two outputs, the given relation is not a function. The option showing this is the 3rd option "No. At least one input results in two outputs.".
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