©Zarestky
Math 142 Quiz 5 Version A
3/3/2011
NAME:______KEY__________________________________
Use the graph below of y = f (x) to answer all questions. You may assume that any critical values
or inflection points occur at integer values of x. (Scale: Each box represents one square unit.)
–
1. (4 pts) Complete the sign chart for f ! by filling numbers
in the boxes and labeling the intervals as positive or
negative.
+
–4
2. (2 pts) Complete the sign chart for f !! .
+
–
–
–3
+
2
+
–
–
0
3. (2 pts) Identify the locations of any local maxima or minima, if any.
Local max at x = __none________
Local min at x = __–4, 2________
4. (2 pts) Determine the order (from greatest to least) of the instantaneous rates of change at x = −1, 1, 3, 4.
Greatest: x = __3_____ Second: x = _4______ Third: x = ___–1____ Least: x = ___1____