Let f (x) = 8x3 − 24x2 − 720x.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:f = f = Relative minimum values, with the x-values in increasing order:f = f = The graph has inflection point(s) at: (x-values in increasing order) The graph is concave downward on the following interval(s): (−∞, ∞) (−∞, a) (−∞, a] (a, ∞) [a, ∞) (−∞, a) ∪ (b, ∞) (−∞, a] ∪ [b, ∞) (−∞, a) ∪ (b, c) (a, b) ∪ (c, ∞) (a, b) [a, b] None of the above. a = b = c =
Let f (x) = 8x3 − 24x2 − 720x.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:f = f = Relative minimum values, with the x-values in increasing order:f = f = The graph has inflection point(s) at: (x-values in increasing order) The graph is concave downward on the following interval(s): (−∞, ∞) (−∞, a) (−∞, a] (a, ∞) [a, ∞) (−∞, a) ∪ (b, ∞) (−∞, a] ∪ [b, ∞) (−∞, a) ∪ (b, c) (a, b) ∪ (c, ∞) (a, b) [a, b] None of the above. a = b = c =
Let f (x) = 8x3 − 24x2 − 720x.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:f = f = Relative minimum values, with the x-values in increasing order:f = f = The graph has inflection point(s) at: (x-values in increasing order) The graph is concave downward on the following interval(s): (−∞, ∞) (−∞, a) (−∞, a] (a, ∞) [a, ∞) (−∞, a) ∪ (b, ∞) (−∞, a] ∪ [b, ∞) (−∞, a) ∪ (b, c) (a, b) ∪ (c, ∞) (a, b) [a, b] None of the above. a = b = c =
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: f = f =
Relative minimum values, with the x-values in increasing order:
f = f =
The graph has inflection point(s) at: (x-values in increasing order)
The graph is concave downward on the following interval(s):
(−∞, ∞)
(−∞, a)
(−∞, a]
(a, ∞)
[a, ∞)
(−∞, a) ∪ (b, ∞)
(−∞, a] ∪ [b, ∞)
(−∞, a) ∪ (b, c)
(a, b) ∪ (c, ∞)
(a, b)
[a, b]
None of the above.
a = b = c =
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
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