The function .

Here represents tax bill of a single person and

represents the gross income and is in between and ,inclusive.

(a)

Find the Domain of this linear function.

The gross income is in between and $ inclusive.

The domain of the function is .

(b)

Find the Tax bill when existed gross income is $ .

Substitute in the function .

Single filers Tax bill is dollars.

(c).

The function .

The gross income is independent variable.

The Tax bill depends on the value of .

Hence The Tax bill is dependent variable.

(d).

Graph:

Graph the linear function over the domain specified in part (a).

The Slope of the function is .

From part (b) the point is .

From the point ,take Rise=1500 untis upward and run=1000 units downward draw the point \ \

(e).

Find Single filers T gross income when the Tax bill is dollars.

Substitute in the function .

The Single filers gross income .

(a) The domain of the function is .

(b) Single filers Tax bill is dollars.

(c) The gross income is independent variable and the Tax bill is dependent variable.

(d)

Graph of the linear function over the domain :

(e) The Single filers gross income .