# Need th dint the relative minimum values, with the x values in increasing order and the graph inflection points Transcribed Image Text: Let f (x) = 6×3 – 18 x2 – 216x

Need th dint the relative minimum values, with the x values in increasing order and the graph inflection points Transcribed Image Text: Let f (x) = 6×3 – 18 x2 – 216x.

Find the relative maximum and minimum values of f. Also find all inflection points of the graph of f and the intervals on which the graph of f is concave downward. Enter the values of the endpoints in

the appropriate blanks and enter DNE in any unused answer blanks. Finally, sketch the graph of f, following the directions above, and bring it to your discussion section the day this assignment is

due.

Relative maximum values, with the x-values in increasing order:

-3

405

f DNE

DNE

Relative minimum values, with the x-values in increasing order:

= 804

DNE

DNE

The graph has inflection point(s) at: (x-values in increasing order)

2

420

DNE

DNE

The graph is concave downward on the following interval(s):

O (-0, 0)

O (-0, a)

O (-0, a]

O (a, o)

O [a, 0)

O (-0, a) U (b, o)

O (-0, a] U [b, 0)

O (-0, a) U (b, c)

O (a, b) U (c, 0)

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