Prof. S. Brick Math 120
Spring ’02 Applied Calculus; Quiz 9 section 2
0. Print your name:
1. Sketch the graph of a function ywhere y0<0 for x < −2 and y0= 0 at x=−2, y0<0
for −2< x < 1 and y0= 0 at x= 1 and y0>0 for 1 < x.
2. Sketch the graph of a function f(x) that has exactly three critical values: a local max
at (−3,12), a local min at (0,2) and another local min at (4,6).
3. Find the critical points of y=x3
−27x. Classify them using either the 1st derivative
or the 2nd derivative test.