Question

In the following exercises, use the mapping of the relation to (a) list the ordered pairs of the relation, (b) find the domain of the relation, and (c) find the range of the relation.

For a woman of height $5\prime 4″$the mapping below shows the corresponding Body Mass Index (BMI). The body mass index is a measurement of body fat based on height and weight. A BMI of$18.5–24.9$ is considered healthy.

Short answer

Part (a) The ordered pairs of the relation is $\left\{\left(+100,17.2\right),\left(110,18.9\right),\left(120,20.6\right),\left(130,22.3\right),\left(140,24.0\right),\left(150,25.7\right),\left(160,27.5\right)\right\}$.

Part (b) The domain is $\{+100,110,120,130,140,150,160\}$.

Part (c) The range is $\{17.2,18.9,20.6,22.3,24.0,25.7,27.5\}$.

Step-by-step solution

Part (a) Step 1.

The arrow shows the matching of the weight to the Body Mass Index (BMI). Create ordered pairs with the Weight as the x-value and the BMI as the y-value. $\left\{\left(+100,17.2\right),\left(110,18.9\right),\left(120,20.6\right),\left(130,22.3\right),\left(140,24.0\right),\left(150,25.7\right),\left(160,27.5\right)\right\}$

Part (b) Step 1.

The domain is the set of all x-values of the relation.

The domain is:$\{+100,110,120,130,140,150,160\}$.

Part (c) Step 1.

The range is the set of all y-values of the relation.

The range is: $\{17.2,18.9,20.6,22.3,24.0,25.7,27.5\}$.