MAC2233
Extra Credit Assignment #1
1. The function $f$ is defined on $0 \le x \le 5.5$ and is given to the right.
Find the following
a. Estimate the interval(s) where $f(x)$ is increasing
b. Estimate the interval(s) where $f'(x)$ is increasing
c. Estimate the interval(s) where $f(x) < 0$
d. Estimate the interval(s) where $f'(x) < 0$
e. Estimate the interval(s) where $f''(x) < 0$
f. Is $f(1)$ positive, negative or zero?
g. Is $f'(1)$ positive, negative or zero?
h. Is $f''(1)$ positive, negative or zero?
i. Which is larger? $f(2)$ or $f(3)$
j. Which is larger? The average rate of change on $[0, 2]$ or the average rate of change on $[0, 3]$
k. Which is larger? $f'(2)$ or $f'(3)$
l. Sketch the graph of $f'(x)$ to the right.
f'(x)