Question

use the clues below to determine which student made each mapping representation. type the name of the student in each white rectangle.
clue #1
omars mapping is not a functional relationship. each output corresponds to the same input
clue #2
jeffs mapping does not represent a function. two of the input values have more than one output.
clue #3
melissas mapping shows a function where each input value corresponds to the same output
clue #4
cassies mapping represents y as a function of x.

Explanation:

Step1: Analyze Clue #1

Clue #1 says Omar's mapping is not a function. A relation is not a function if an input has more than one output. Looking at the mappings, the second mapping (with inputs - 20,14,11,6 and outputs - 2, - 2,10,10) has inputs 14 and - 20 both mapping to - 2 and inputs 11 and 6 both mapping to 10. So this is Omar's mapping.

Step2: Analyze Clue #2

Clue #2 says Jeff's mapping does not represent a function. Two of the input values have more than one output. The first mapping (with inputs - 13,20 and outputs 16,2, - 1,9) has input - 13 mapping to 16 and 2 and input 20 mapping to - 1 and 9. So this is Jeff's mapping.

Step3: Analyze Clue #3

Clue #3 says Melissa's mapping shows a function where each input value corresponds to the same output. The third mapping (with output - 9 and inputs - 9, - 2, - 6,3) has all inputs mapping to - 9. So this is Melissa's mapping.

Step4: Analyze Clue #4

Clue #4 says Cassie's mapping represents \(y\) as a function of \(x\). The fourth mapping (with inputs 16, - 4,0,0 and output 7) is a function (since for each input \(x\), there is exactly one output \(y = 7\)). So this is Cassie's mapping.

Answer:

Jeff, Omar, Melissa, Cassie