Math  /  Discrete

Questionractice and Problem Solving ple 1 Express each relation as a table, a graph, and a mapping. Then determine the domain and range.
9. {(0,0),(3,2),(6,4),(1,1)}\{(0,0),(-3,2),(6,4),(-1,1)\}
10. {(5,2),(5,6),(3,2),(0,2)}\{(5,2),(5,6),(3,-2),(0,-2)\}

Studdy Solution

STEP 1

1. We are given sets of ordered pairs representing relations.
2. We need to express each relation as a table, a graph, and a mapping.
3. We need to determine the domain and range for each relation.

STEP 2

1. Express the relation as a table.
2. Graph the relation on a coordinate plane.
3. Represent the relation as a mapping diagram.
4. Determine the domain and range of the relation.

STEP 3

For relation 9: {(0,0),(3,2),(6,4),(1,1)}\{(0,0),(-3,2),(6,4),(-1,1)\}
Create a table with two columns, one for x x values and one for y y values: xy00326411\begin{array}{|c|c|} \hline x & y \\ \hline 0 & 0 \\ -3 & 2 \\ 6 & 4 \\ -1 & 1 \\ \hline \end{array}

STEP 4

Graph the points (0,0)(0,0), (3,2)(-3,2), (6,4)(6,4), and (1,1)(-1,1) on a coordinate plane.

STEP 5

Create a mapping diagram for relation 9: - List the x x values: {0,3,6,1} \{0, -3, 6, -1\} - List the y y values: {0,2,4,1} \{0, 2, 4, 1\} - Draw arrows from each x x value to its corresponding y y value.

STEP 6

Determine the domain and range for relation 9: - Domain: {0,3,6,1} \{0, -3, 6, -1\} - Range: {0,2,4,1} \{0, 2, 4, 1\}

STEP 7

For relation 10: {(5,2),(5,6),(3,2),(0,2)}\{(5,2),(5,6),(3,-2),(0,-2)\}
Create a table with two columns, one for x x values and one for y y values: xy52563202\begin{array}{|c|c|} \hline x & y \\ \hline 5 & 2 \\ 5 & 6 \\ 3 & -2 \\ 0 & -2 \\ \hline \end{array}

STEP 8

Graph the points (5,2)(5,2), (5,6)(5,6), (3,2)(3,-2), and (0,2)(0,-2) on a coordinate plane.

STEP 9

Create a mapping diagram for relation 10: - List the x x values: {5,3,0} \{5, 3, 0\} - List the y y values: {2,6,2} \{2, 6, -2\} - Draw arrows from each x x value to its corresponding y y value.

STEP 10

Determine the domain and range for relation 10: - Domain: {5,3,0} \{5, 3, 0\} - Range: {2,6,2} \{2, 6, -2\}
The tables, graphs, mappings, domains, and ranges for both relations have been determined.

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