Question

For the given function and interval estimate the area using four rectangles and the left endpoints is the area found an over or underestimate? Explain your reasoning f(x)=81-x^2 on the interval [0,8].

Answer 1

Answer:

Overestimate

Step-by-step explanation:

Draw the function on a graph as in the attached image and split the interval into 4 equal spaces, in this case 2.

To draw the rectangle, ensure the top left point of each rectangle intersects the function.

using the left end point lead all the excess areas shaded in purple. This means that when calculating the area of the graph with this method, the area will present larger than it actually is.