Consider the function h(x) = 14 + 4x³ – x*. a. Identify the critical points of the function. b. Determine the intervals on which the function increases and decreases. %3D - C. Classify the critical points as relative maximums, relative minimums or neither. d. Determine the intervals on which the function is concave up and concave down. e. Determine the inflection points of the function. f. Use the information from steps (a) – (e) to sketch the graph of the function.
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Please answer all parts of questions 9 and 12
![Consider the function h(x) = 14 + 4x³ – x*.
a. Identify the critical points of the function.
b. Determine the intervals on which the function increases and decreases.
%3D
-
C. Classify the critical points as relative maximums, relative minimums or neither.
d. Determine the intervals on which the function is concave up and concave down.
e. Determine the inflection points of the function.
f. Use the information from steps (a) – (e) to sketch the graph of the function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe51b0353-ef18-40e6-8113-76f2f632483e%2Fafa20144-9e33-4ebe-866b-2709b834662a%2F9xez4c.jpeg&w=3840&q=75)
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