Question

Devon is having difficulty determining if a relation given in an input-output table is a function. Marco explains to him that in order to tell if the relation in the table is a function, Devon needs to check if any of the output values are repeated. If they repeat and have different input values, the relation is not a function.

If Marco is correct, respond to the following statement:
Summarize Marco's reasoning in your own words.

If Marco is incorrect, respond to the following statement:
Explain what is wrong with Marco's reasoning and provide an example.

Answer 1

9514 1404 393

Step-by-step explanation:

Marco is incorrect.

A relation is not a function if any input values are repeated. Each input value must map to a unique output value. If input values are repeated, then the repeated input will map to multiple different output values, making the relation not a function.

function: (1, 1), (2, 1), (3, 2) . . . . . . . . (-, 1) repeated output is immaterial

non-function: (1, 1), (1, 2), (3, 2) . . . . because (1, -) is a repeated input