CPM Homework Help : PC Problem 8-11

Given the piecewise function , complete the following problems. Homework Help ✎
1. Graph h(t) over the interval 0 ≤ t ≤ 10.
2. What is the area under h(t) over the interval ≤ t ≤ 10?
3. If g(t) = h(t) + 6, what is the area under g(t) for the same interval?

Answer (a):

Hint (b):

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

Hint (c):

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