which set represents the same relation as the table below?\n| x | f(x) |\n|----|----|\n| 0 | 5 |\n| 4 | 2…

which set represents the same relation as the table below?\n| x | f(x) |\n|----|----|\n| 0 | 5 |\n| 4 | 2 |\n| 6 | 9 |\n| 9 | 10 |\n{(0,5),(4,2),(6,9),(9,10)}\n{(5,0),(2,4),(9,6),(10,9)}\n{0,2,4,5,6,9,10}\n{2,5,9,10}

which set represents the same relation as the table below?\n| x | f(x) |\n|----|----|\n| 0 | 5 |\n| 4 | 2 |\n| 6 | 9 |\n| 9 | 10 |\n{(0,5),(4,2),(6,9),(9,10)}\n{(5,0),(2,4),(9,6),(10,9)}\n{0,2,4,5,6,9,10}\n{2,5,9,10}

Answer

Explanation:

Step1: Recall relation representation

A relation can be represented as a set of ordered - pairs $(x,y)$ where $x$ is the input and $y$ is the output. In the given table, when $x = 0$, $y=f(x)=5$; when $x = 4$, $y = 2$; when $x=6$, $y = 9$; when $x = 9$, $y = 10$.

Step2: Match with options

The set of ordered - pairs that represents the same relation as the table is ${(0,5),(4,2),(6,9),(9,10)}$.

Answer:

${(0,5),(4,2),(6,9),(9,10)}$