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. 4 f(x) = - 12x - 64x – 12 (a) The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) (b) On which intervals is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Increasing on (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.) O B. Never increasing (c) On which intervals is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Never decreasing O B. Decreasing on (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.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section: Chapter Questions
Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
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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) = x° - 12x2 - 64x - 12
(.....
(a) The critical number(s) is/are
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
(b) On which intervals is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. Increasing on
(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.)
O B. Never increasing
(c) On which intervals is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. Never decreasing
B. Decreasing on
(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.)
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) = x° - 12x2 - 64x - 12 (..... (a) The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) (b) On which intervals is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Increasing on (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.) O B. Never increasing (c) On which intervals is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Never decreasing B. Decreasing on (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.)
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