For the function below, find (a) the critical numbers; (b) the open intervals where the function is increasing; and (c) the open intervals where it is decreasing. f(x)=8x³-18x²-24x+9 (...) (a) Find the critical number(s). First, find f'(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The critical number(s) is/are (Use a comma to separate answers as needed.) OB. There are no critical numbers. (b) List any interval(s) on which the function is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is increasing on the interval(s) (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. The function is never increasing. (c) List any interval(s) on which the function is decreasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is decreasing on the interval(s) (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use comma to separate answers as needed.) OB. The function is never decreasing.
For the function below, find (a) the critical numbers; (b) the open intervals where the function is increasing; and (c) the open intervals where it is decreasing. f(x)=8x³-18x²-24x+9 (...) (a) Find the critical number(s). First, find f'(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The critical number(s) is/are (Use a comma to separate answers as needed.) OB. There are no critical numbers. (b) List any interval(s) on which the function is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is increasing on the interval(s) (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. The function is never increasing. (c) List any interval(s) on which the function is decreasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is decreasing on the interval(s) (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use comma to separate answers as needed.) OB. The function is never decreasing.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:For the function below, find (a) the critical numbers; (b) the open intervals where the function is increasing; and (c) the open intervals where it is decreasing.
f(x) = 8x³ - 18x²-24x+9
C
(a) Find the critical number(s). First, find f'(x).
f'(x) =
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The critical number(s) is/are
(Use a comma to separate answers as needed.)
OB. There are no critical numbers.
(b) List any interval(s) on which the function is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The function is increasing on the interval(s)
(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
OB. The function is never increasing.
(c) List any interval(s) on which the function is decreasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The function is decreasing on the interval(s)
(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
OB. The function is never decreasing.
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