Sketch the function
You should recognize this function as a semicircle with radius
State the domain and range of
Consider the radius and center of the semicircle. This should help you determine domain and range?
Use geometry to calculate the area under the curve for
Now calculate the area under the curve for
You can use your answer to part (b) and help answer part (c).
What is the relationship between the answers to parts (b) and (c)?
The area in (c) is double the area in (b). Be sure to confirm this numerically.