Q59. - Algebra 1

Question

Express the following relation as a table, a graph, and a mapping. Then determine the domain and range.

$\left\{\left(1,3\right),\left(2,4\right),\left(3,5\right),\left(4,6\right)\right\}$

Step-by-Step Solution

Answer

Domain = {1,2,3,4}

Range = {3,4,5,6}

Step 1. Given information.

Given relation,

$\left\{\left(1,3\right),\left(2,4\right),\left(3,5\right),\left(4,6\right)\right\}$

Step 2. Make a table.

In a table $x$-coordinate in first column and $y$-coordinate in the second column.

x	y
1	3
2	4
3	5
4	6

Step 3. Make a graph.

Sketch, the graph of each ordered pairs is in below.

Step 4. Define a mapping.

The value of $x$ in the domain and the value of $y$ in the range.

Step 5. Write domain and range.

Domain is the set of all possible input values, which produce a valid output from a particular.

And range is the set of all possible output values, which result from using a particular function.

 

For the given relation,

Domain $=\left\{1,2,3,4\right\}$

Range $=\left\{3,4,5,6\right\}$