### Home > APCALC > Chapter 1 > Lesson 1.1.1 > Problem 1-4

1-4.

Examine the graph the function

*at right. Homework Help ✎*

Calculate the area of the shaded region.

Notice the familiar geometric shape.

Notice that the line dips below the -axis when

*. When you are asked to calculate the “area under a curve” this refers to the region between the curve and the*

*‑axis. Any area*

*below*the

*-axis is considered to be negative. Calculate the area under the curve for*

Find the area of the negative region and combine

it with the positive area found in part (a).

Determine the value of *k* such that the area under the curve for