To determine whether the mapping diagram represents a function, we need to clarify what a function is. A function is a relation in which each input is associated with exactly one output.
From the input you provided:
- The inputs are 2, 4, and 3.
- The outputs are 20, 30, and 40.
To check if this is a function, we need to see if each input maps to a single output. In this case, the inputs (2, 4, 3) are distinct, and no input is repeated, implying that each number corresponds to one output.
Since each input would correspond to one unique output (assuming a pairing; for instance, if 2 maps to 20, 4 maps to 30, and 3 maps to 40), this does represent a function.
However, if any input were to map to multiple outputs (e.g., if 2 maps to both 20 and 30), it would not be a function. Based on your current input-output pairs and given no further context, yes, the mapping diagram does represent a function.