Question

Royce heard that a function has one output for each input. He concluded that this means the graph shown must be that of a function, because it has the same number of outputs as inputs. The inputs are 1, 2, 3, 4, and 5, and the outputs are 2, 3, 4, 5, and 6.

Which best describes why Royce's conclusion is wrong?
A The inputs are actually 2, 3, 4, 5, and
6.
B The outputs are actually 1, 2, 3, 4,
and 5.
C 2 and 3 are both outputs for the
same input.
D. 1 and 2 are both inputs for the same
output.

Answer 1

The reason why Royce was wrong is, there are two outputs for the same input. This is against the rules of functions of one output for each input. Otherwise known as one-to-one.
The answer is: C]