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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)2/3

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)2/3

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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5.1 #10 Part 2 of 3
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)2/3 a) Select the correct choice below and fill in any answer boxes in your choice. OA. The critical number(s) is/are -3 (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.
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)2/3 a) Select the correct choice below and fill in any answer boxes in your choice. OA. The critical number(s) is/are -3 (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.
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