Math 135 Group Work #4 Spring 2009
Problem 0. Write down the names of everyone in your group on the board.
Problem 1. Draw graphs for a function fthat has the given characteristics.
(a): f > 0, f0>0, and f00 >0.
(b): f < 0, f0>0, and f00 >0.
(c): f > 0, f0<0, and f00 >0.
(d): f > 0, f0>0, and f00 <0.
(e): f < 0, f0<0, and f00 <0.
Problem 2. Let
f(x) = x2
−4
x+ 3 .
Find any x- and y-intercepts, vertical or horizontal asymptotes, relative extrema,
intervals of increase/decrease, points of inflection, intervals of concavity, and so on.
Then sketch a graph.
Problem 3. Repeat Problem 2 for
f(x) = x2+x−2
2x2
−2.