1. For


identify the point of diminishing returns for the input-output function, when
R is the revenue and
x is the amount spent on advertising.
2. For the function

with the interval

use a graphing utility to graph


and

on the same viewing rectangle. Graphically locate the relative extrema and points of inflection of the graph.
3. For the function

with the interval

use a graphing utility to graph


and

on the same viewing rectangle. Graphically locate the relative extrema and points of inflection of the graph.