Question

Does this mapping diagram represent a function?

input output
2 -> 20
4 \ 30
3 / 40

Answer 1

To determine if the mapping diagram represents a function, we need to check if each input corresponds to exactly one output.

Looking at the given mapping:

- The input 2 maps to the output 20.
- The input 4 maps to the output 30.
- The input 3 maps to the output 40.

Each input (2, 4, and 3) is associated with a unique output. There are no inputs that map to more than one output, which means no input is repeated with different outputs.

Therefore, this mapping diagram represents a function.

Answer 2

what about this graph?

input output
10 -> 15
20 25
30 35
40 45

Answer 3

To determine if the second mapping you provided represents a function, we will check if each input corresponds to exactly one output.

From your mapping:

- The input 10 maps to the output 15.
- The input 20 maps to the output 25.
- The input 30 maps to the output 35.
- The input 40 maps to the output 45.

Each input (10, 20, 30, and 40) has a unique output associated with it. There are no repeated inputs that map to more than one output.

Since each input corresponds to exactly one output, this mapping also represents a function.