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 + 3)4/5 a) Select the correct choice below and fill in any answer boxes in your choice. O A. The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. There is no critical number. b) Select the correct choice below and fill in any answer boxes in your choice. O A. List any interval(s) on which the function is increasing. (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. The function is never increasing. c) Select the correct choice below and fill in any swer boxe in your choice O A. List any interval(s) on which the function is decreasing. (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. The function is never decreasing.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 + 3)ª/5
a) Select the correct choice below and fill in any answer boxes in your choice.
O A. The critical number(s) is/are
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. There is no critical number.
b) Select the correct choice below and fill in any answer boxes in your choice.
O A. List any interval(s) on which the function is increasing.
(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. The function is never increasing.
c) Select the correct choice below and fill in any
swer boxes in your choice.
O A. List any interval(s) on which the function is decreasing.
(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. The function is never decreasing.
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 + 3)ª/5 a) Select the correct choice below and fill in any answer boxes in your choice. O A. The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. There is no critical number. b) Select the correct choice below and fill in any answer boxes in your choice. O A. List any interval(s) on which the function is increasing. (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. The function is never increasing. c) Select the correct choice below and fill in any swer boxes in your choice. O A. List any interval(s) on which the function is decreasing. (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. The function is never decreasing.
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