Identifying Functions with Mapping Diagrams | 8.F.A.1 💗💙

In a mathematical function, what is the relationship between each input and its output?

• Each output must have exactly one input.

• Each input must have exactly one output.

• An input can have multiple outputs.

• An output can have no corresponding input.

Which of the following mapping diagrams represents a function?

• Input 0 maps to 0, 1 to 1, 2 to 2, and 3 to 0 and 3.

• Input 0 maps to 0, 1 to 1, 2 to 2, and 3 to 3.

• Input 0 maps to 0, 1 to 1, 2 to 0, and 2 to 1.

• Input 0 maps to 0, 1 to 2, 1 to 3, and 2 to 3.

Which of the following mapping diagrams does NOT represent a function?

• Input 0 maps to 0, 1 to 1, 2 to 2, 3 to 3.

• Input 0 maps to 0, 1 to 1, 2 to 2, 3 to 2.

• Input 0 maps to 0, 1 to 1, 2 to 3, 3 to 3.

• Input 0 maps to 0, 1 to 1, and 3 maps to both 0 and 3.

Why is a mapping where input '3' maps to both '0' and '3' not considered a function?

• Because the output values are repeated.

• Because the input value '2' is not used.

• Because one input value is paired with more than one output value.

• Because there are more input values than output values.