Answer:
See Below. 
Step-by-step explanation:
We are given the graph of <em>y</em> = f'(x) and we want to determine the characteristics of f(x). 
Part A)
<em>f</em> is increasing whenever <em>f'</em> is positive and decreasing whenever <em>f'</em> is negative. 
Hence, <em>f</em> is increasing for the interval: 

And <em>f</em> is decreasing for the interval: 

Part B)
<em>f</em> has a relative maximum at <em>x</em> = <em>c</em> if <em>f'</em> turns from positive to negative at <em>c</em> and a relative minimum if <em>f'</em> turns from negative to positive to negative at <em>c</em>. 
<em>f'</em> turns from positive to negative at <em>x</em> = -2 and <em>x</em> = 1. 
And <em>f'</em> turns from negative to positive at <em>x</em> = -1 and <em>x</em> = 3. 
Hence, <em>f</em> has relative maximums at <em>x</em> = -2 and <em>x</em> = 1, and relative minimums at <em>x</em> = -1 and <em>x</em> = 3. 
Part C)
<em>f</em> is concave up whenever <em>f''</em> is positive and concave down whenever <em>f''</em> is negative. 
In other words, <em>f</em> is concave up whenever <em>f'</em> is increasing and concave down whenever <em>f'</em> is decreasing. 
Hence, <em>f</em> is concave up for the interval (rounded to the nearest tenths): 

And concave down for the interval: 

Part D)
Points of inflections are where the concavity changes: that is, <em>f''</em> changes from either positive to negative or negative to positive. 
In other words, <em>f </em>has an inflection point wherever <em>f'</em> has an extremum point. 
<em>f'</em> has extrema at (approximately) <em>x</em> = -1.5, 0, and 2.2. 
Hence, <em>f</em> has inflection points at <em>x</em> = -1.5, 0, and 2.2.