Q60. - Algebra 1

Question

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

$\left\{\left(-1,1\right),\left(0,-2\right),\left(3,1\right),\left(4,-1\right)\right\}$

Step-by-Step Solution

Answer

Domain = {-1, 0, 3, 4}

Range = {-2, -1, 1}

Step 1. Given information.

Given relation,

$\left\{\left(-1,1\right),\left(0,-2\right),\left(3,1\right),\left(4,-1\right)\right\}$

Step 2. Make a table.

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

x	y
$-1$	1
0	$-2$
3	1
4	$-1$

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 $=\left\{-1,0,3,4\right\}$

Range $=\left\{-2,-1,1\right\}$