Reimann Sum Question

[Jason76]

Do you need to make a graph to find overestimation or underestimation?

 

[stapel]

Do you need to make a graph to find overestimation or underestimation?

Unlikely.

 

[HallsofIvy]

Do you need to make a graph to find overestimation or underestimation?

I think you are talking about the idea of dividing the given interval into a fixed number of sub-intervals then always selecting the largest value of f(x) in that interval to get an "overestimation" and always selecting the smallest value to get an underestimate. While drawing a graph might help, it is certainly not necessary. You should, at this point, already have learned methods for finding maximum and minimum values of a function in an interval.

 

[Jason76]

For right endpoint graphs:

y values increasing mean overestimation, y values decreasing mean underestimation.

For left endpoint graphs:

y values increasing mean underestimation, y values decreasing mean overestimation.