Chapter 1.6, Problem 14PPS

To determine

To express: the relation as a table, a graph, and a mapping. Then find the range and domain.

Answer to Problem 14PPS

The domain $\left(4,1,7,2\right)$ is range is $\left(-3,3,-2,5\right)$ .

Explanation of Solution

Given:

The given function is: $\left\{\left(4,-3\right),\left(1,3\right),\left(7,-2\right),\left(2,-2\right),\left(1,5\right)\right\}$

Calculation:

As the given function is $\left\{\left(4,-3\right),\left(1,3\right),\left(7,-2\right),\left(2,-2\right),\left(1,5\right)\right\}$ .

Now, create a table to represent the function. The table is shown below:

$x$	$y$
$4$	$-3$
$1$	$3$
$7$	$-2$
$2$	$-2$
$1$	$5$

Now draw the map to represent the function. The mapping is shown below:

  

Now draw the graph to represent the function. The graph is shown below:

  

Now to find the range and domain of the given function: $\left\{\left(4,-3\right),\left(1,3\right),\left(7,-2\right),\left(2,-2\right),\left(1,5\right)\right\}$

The domain $\left(4,1,7,2\right)$ is range is $\left(-3,3,-2,5\right)$ .