Question

in the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. select all the statements that are true about the inputs and outputs.

(2, 4), (6, 3), (5, 4), (7, 3), (8, 2)

• there is only one input for every output.
• there is more than one output for some inputs.
• there is more than one input for some outputs.
• there is only one output for every input.
• the group of ordered pairs represents a function.

Explanation:

1. Check input-output uniqueness: Each x-value (input) maps to exactly one y-value (output). For example, input 2 only maps to 4, input 6 only maps to 3, etc.
2. Check output-input uniqueness: Some y-values (outputs) map to multiple x-values (inputs). For example, output 4 maps to inputs 2 and 5; output 3 maps to inputs 6 and 7.
3. Recall function definition: A relation is a function if each input has exactly one output, which is true here.

Answer:

• There is more than one input for some outputs.
• There is only one output for every input.
• The group of ordered pairs represents a function.