Question

Determine whether each relation represents a function. For each function, state the domain and range.

Short answer

The domain of the function is$\{\mathrm{Less}\mathrm{than}9\mathrm{th}\mathrm{grade},9\mathrm{th}-12\mathrm{th}$$\mathrm{grade},\mathrm{High}\mathrm{School}\mathrm{Graduate},\mathrm{Some}\mathrm{College},\mathrm{College}\mathrm{Graduate}\}$and range is$\{\$18,120,\$23,251,\$36,055,\$45,810,\$67,165\}$.

Step-by-step solution

Step 1. Given Information

In the given question we have to determine whether each relation represents a function and for each function, we have to state the domain and range.

Step 2. The relation in Figure is a function because each element in the domain corresponds to exactly one element in the range.

The domain of the function is $\{\mathrm{Less}\mathrm{than}9\mathrm{th}\mathrm{grade},9\mathrm{th}-12\mathrm{th}$$\mathrm{grade},\mathrm{High}\mathrm{School}\mathrm{Graduate},\mathrm{Some}\mathrm{College},\mathrm{College}\mathrm{Graduate}\}$.

Step 3. The set of all images of the elements in the domain is called the range of the function.

The range of the function is $\{\$18,120,\$23,251,\$36,055,$

$\$45,810,\$67,165\}$