Need Help on Both Parts, Part B will be the same question but the Minimum versio

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Need Help on Both Parts, Part B will be the same question but the Minimum version

Homework: HW 1 - 1.3 Score: 0 of 1 pt 5 of 30 (5 complete) ? HW Score: 13 33% 1.3.15 Questio The graph and equation of the function f are given. a. Use the graph to find any values at which f has a relative maximum, and use the equation to calculate the relative maximum for each value. b. Use the graph to find any values at which fhas a relative minimum, and use the equation to calculate the relative minimum for each value fx)-2x3-6x2-18x+4 uides a. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The function fhas (a) relative maxima(maximum) at and the relative maxima(maximum) are(is) O B. The function fhas no relative maxima. ring (Use a comma to separate answers as needed.) Click to select and enter your answer(s) and then click Check Answer Clear All part remaining ch

Explanation / Answer

f(x) = 2x3 - 6x2 - 18x + 4

From the graph it is clearly visible that at x = -1 there is relative maxima and at x = 3 there is relative minima.

(a) function has relative maximum at x = -1 and relative maximum value is f(-1) = 2(-1)3 -6(-1)2 -18(-1) + 4 = 14

(b) function has relative minimum at x = 3 and relative minimum value is f(3) = 2(3)3 -6(3)2 -18(3) +4 = -50

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