Question

Below you are given a mapping diagram,
Domain Range
11
20
34
41
Create and justify a relation that represents a function with the given range. Write your answers as ordered pairs.
Create and justify a relation that does not represent a function with the given range. Write your answers as ordered pairs

Answer 1

\(\normalsize\color{red}\bigstar\large\color{gold}\bigstar\Large\color{greenyellow}\bigstar\large\color{cyan}\bigstar\normalsize\color{blue}\bigstar\large\color{purple}\bigstar\Large\color{magenta}\bigstar\large\color{pink}\bigstar\normalsize\color{orchid}\bigstar\large\color{red}\bigstar\Large\color{gold}\bigstar\large\color{greenyellow}\bigstar\Large\color{cyan}\bigstar\large\color{blue}\bigstar\normalsize\color{purple}\bigstar\large\color{magenta}\bigstar\Large\color{pink}\bigstar\large\color{orchid}\bigstar\normalsize\color{red}\bigstar\)

\(\Large\cal\hspace{45 pt}\color{red}◇\color{red}\heartsuit\hspace{2 pt}\color{red}W\color{gold}E\color{greenyellow}L\color{lime}C\color{cyan}O\color{purple}M\color{magenta}E\hspace{2 pt}\color{magenta}\heartsuit\hspace{-3 pt}\color{magenta}◇\)
\(\Large\cal\hspace{95 pt}\color{orchid}T\color{pink}O\)
\(\Large\hspace{37 pt}\color{plum}◇\Large\color{plum}\heartsuit\hspace{2 pt}\LARGE\cal\color{plum}O\large\color{salmon}P\color{red}E\color{orange}N\LARGE\color{gold}S\large\color{greenyellow}T\color{lime}U\color{cyan}D\color{purple}Y\color{magenta}!\hspace{2 pt}\Large\color{magenta}\heartsuit\hspace{-3 pt}\color{magenta}◇\)

\(\normalsize\color{red}\bigstar\large\color{gold}\bigstar\Large\color{greenyellow}\bigstar\large\color{cyan}\bigstar\normalsize\color{blue}\bigstar\large\color{purple}\bigstar\Large\color{magenta}\bigstar\large\color{pink}\bigstar\normalsize\color{orchid}\bigstar\large\color{red}\bigstar\Large\color{gold}\bigstar\large\color{greenyellow}\bigstar\Large\color{cyan}\bigstar\large\color{blue}\bigstar\normalsize\color{purple}\bigstar\large\color{magenta}\bigstar\Large\color{pink}\bigstar\large\color{orchid}\bigstar\normalsize\color{red}\bigstar\)

Answer 2

Someone please help me

Answer 3

Domain refers to the x values and range refers to the y values.
You can choose x (or domain) values as 1, 2, 3 and 4:
Domain Range
1 11
2 20
3 34
4 41

The ordered pairs will be: (1,11), (2,20), (3, 34) and (4, 41)
This is a function because each x-value maps to a unique y-value.
If each x value maps to more than one y-value it will not be a function.

Answer 4

So for the second part, what would I do to make it so that each x value maps to more than one y value?

Answer 5

Just change, for example, x = 2 to x = 1.
Then you will have the same x value map to two different y values and therefore it is NOT a function:
Domain Range
1 11
1 20
3 34
4 41
The ordered are: (1,11), (1,20), (3, 34) and (4, 41)
When x = 1, it maps to y = 11 AND y = 20. This fails the vertical line test for a function where a vertical line drawn at x = 1 intersects the graph at two different y values, namely, 11 and 20.

Answer 6

Thank you so much @aum

Answer 7

You are welcome.