Please answer all parts!
Given the following function:
f ' (x) = x2 + x − 2
(a) Find the intervals on which f '(x) is increasing or decreasing. (If you need to use or –, enter INFINITY or –INFINITY, respectively.)
Increasing:
Decreasing:
(b) Find the intervals on which the graph of f is concave upward or concave downward. (If you need to use or –, enter INFINITY or –INFINITY, respectively.)
Concave upward:
Concave downward:
(c) Find the relative extrema and inflection points of f. (Enter NONE in any unused answer blanks.)
Relative maximum:
x =
Relative minimum:
x =
Inflection point:
x =
(d) Draw the graph