5. Does this table represent a function? Explain using what you know about functions

Question

Day of week output
Sunday 3, 2
Monday 2
Tuesday 1, 2
Wednesday 4
Thursday 2
Friday 3, 3
Saturday 1

Answer 1

No, this table does not represent a function because a function is a relation between a set of inputs (in this case, the days of the week) and a set of outputs that assigns exactly one output to each input. In this table, we have multiple outputs for several of the inputs, which violates the definition of a function. For example, on Sunday, the output is listed as 3 and 2. This means that the same input (Sunday) is associated with two different outputs, which is not allowed in a function.