Sums and Floor Function (Sheet L)
Prepared by:
Joseph Malkevitch
Department of Mathematics and Computer Studies
York College (CUNY)
Jamaica, New York
email:
malkevitch@york.cuny.edu
web page:
http://york.cuny.edu/~malk/
1. Evaluate the following sums:
a.
b. (a is a constant)
c.
d.
(Evaluate d using the "formulas" for summing integers and squares of integers. Hint: Look at sheet with induction problems.)
2. Given: Let g(x) = and f(x) = compute:
a. f(-3.2) b. g(-3.2) c. f(3.4) d. g(3.5) e. f(3/4) f. g(f-2.1) =
3. Graph g(x) and fx).