+4 consider the function f whose information is:
f is continuous on (- infinity, infinity).
lim f(x)=infinity and lim f(x)= infinity
x-> - infinity x-> infinity
(+) 0 (-) 0 (+) (-) 0 (+) ? (+) (+) ? (-) 0 (+)
<-----------|-----------|---------> <-----------|-----------|----------> <-----------|-----------|---------->
-4 0 -1 0 0 2
A sign diagram for f(x) A sign diagram for f'(x) A sign diagram for f''(x)
list the open interval(s) over which f is:
increasing:
decreasing:
concave up:
concave down:
determine the x-value(s) where f as the following features:
if it doesn't exist on the graph, say DNE
local maximum:
local minimum:
absolute maximum:
absolute minimum:
inflection point:
sketch the graph of y = f(x):
