Question

Find the intervals where f(x) = xe^{4x} is increasing and the intervals where it is decreasing. (A) increasing on (-?, 1/4) and decreasing on (1/4, ?). (B) increasing on (1/4, ?) and decreasing on (-?, 1/4). (C) increasing on (-1/4, ?) and decreasing on (-?, -1/4). (D) increasing on (-?, -1/4) and decreasing on (-1/4, ?). Find the intervals where f(x) = x^2 - 17x + 72 is increasing and the intervals where it is decreasing. (A) increasing on (-?, 8) ? (9, ?) and decreasing on (8, 9). (B) increasing on (8, 9) and decreasing on (-?, 8) ? (9, ?). (C) increasing on (-?, 17/2) and decreasing on (17/2, ?). (D) increasing on (17/2, ?) and decreasing on (-?, 17/2). Find the intervals where f(x) = x^2 - 9x + 2 is concave up and the intervals where it is concave down. (A) concave up on (-?, ?) and concave down on ?. (B) concave up on (3, ?) and concave down on (-?, 3). (C) concave up on (-?, 3) and concave down on (3, ?). (D) concave up on ? and concave down on (-?, ?). Find the absolute minimum of the function f(x) = 2x^3 - 24x^2 - 54x - 18 on [-4, 9]. Round solution to three decimal places. (A) -990.0 (B) -314.0 (C) -206.0 (D) -983.0 Find the absolute maximum of the function f(x) = e^{x-4} + 4 on [-1, 4]. Round solution to three decimal places. (A) 4.007 (B) 4.05 (C) 5.0 (D) -2.0

          Find the intervals where f(x) = xe^{4x} is increasing and the intervals where it is decreasing.

(A) increasing on (-?, 1/4) and decreasing on (1/4, ?).
(B) increasing on (1/4, ?) and decreasing on (-?, 1/4).
(C) increasing on (-1/4, ?) and decreasing on (-?, -1/4).
(D) increasing on (-?, -1/4) and decreasing on (-1/4, ?).

Find the intervals where f(x) = x^2 - 17x + 72 is increasing and the intervals where it is decreasing.

(A) increasing on (-?, 8) ? (9, ?) and decreasing on (8, 9).
(B) increasing on (8, 9) and decreasing on (-?, 8) ? (9, ?).
(C) increasing on (-?, 17/2) and decreasing on (17/2, ?).
(D) increasing on (17/2, ?) and decreasing on (-?, 17/2).

Find the intervals where f(x) = x^2 - 9x + 2 is concave up and the intervals where it is concave down.

(A) concave up on (-?, ?) and concave down on ?.
(B) concave up on (3, ?) and concave down on (-?, 3).
(C) concave up on (-?, 3) and concave down on (3, ?).
(D) concave up on ? and concave down on (-?, ?).

Find the absolute minimum of the function f(x) = 2x^3 - 24x^2 - 54x - 18 on [-4, 9]. Round solution to three decimal places.

(A) -990.0
(B) -314.0
(C) -206.0
(D) -983.0

Find the absolute maximum of the function f(x) = e^{x-4} + 4 on [-1, 4]. Round solution to three decimal places.

(A) 4.007
(B) 4.05
(C) 5.0
(D) -2.0

Find the intervals where f(x) = xe^4x is increasing and the intervals where it is decreasing.

(A) increasing on (-?, 1/4) and decreasing on (1/4, ?).
(B) increasing on (1/4, ?) and decreasing on (-?, 1/4).
(C) increasing on (-1/4, ?) and decreasing on (-?, -1/4).
(D) increasing on (-?, -1/4) and decreasing on (-1/4, ?).

Find the intervals where f(x) = x^2 - 17x + 72 is increasing and the intervals where it is decreasing.

(A) increasing on (-?, 8) ? (9, ?) and decreasing on (8, 9).
(B) increasing on (8, 9) and decreasing on (-?, 8) ? (9, ?).
(C) increasing on (-?, 17/2) and decreasing on (17/2, ?).
(D) increasing on (17/2, ?) and decreasing on (-?, 17/2).

Find the intervals where f(x) = x^2 - 9x + 2 is concave up and the intervals where it is concave down.

(A) concave up on (-?, ?) and concave down on ?.
(B) concave up on (3, ?) and concave down on (-?, 3).
(C) concave up on (-?, 3) and concave down on (3, ?).
(D) concave up on ? and concave down on (-?, ?).

Find the absolute minimum of the function f(x) = 2x^3 - 24x^2 - 54x - 18 on [-4, 9]. Round solution to three decimal places.

(A) -990.0
(B) -314.0
(C) -206.0
(D) -983.0

Find the absolute maximum of the function f(x) = e^x-4 + 4 on [-1, 4]. Round solution to three decimal places.

(A) 4.007
(B) 4.05
(C) 5.0
(D) -2.0

Added by Joann J.

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