### Home > PC > Chapter 8 > Lesson 8.1.1 > Problem 8-11

8-11.

Given the piecewise function

, complete the following problems. Homework Help ✎ Graph

*h*(*t*) over the interval 0 ≤*t*≤ 10.What is the area under

*h*(*t*) over the interval ≤*t*≤ 10?If

*g*(*t*) =*h*(*t*) + 6, what is the area under*g*(*t*) for the same interval?

Break the area into smaller rectangles and triangles. Calculate the area for each. Add up the areas of the parts.

Raising the graph up 6 would give the area an additional (6)(width).