Find the intervals on which f is increasing and decreasing. f(x) = - 3 sin x on [- 7,7] Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. The function is increasing on the open interval(s) and decreasing on the open interval(s) (Simplify your answers. Type your answers in interval notation. Type exact answers, using a as needed. Use a comma to separate answers as needed.) O B. The function is decreasing on the open interval(s) The function is never increasing. (Simplify your answer. Type your answer in interval notation. Type exact answers, using a as needed. Use a comma to separate answers as needed.) O C. The function is increasing on the open interval(s) The function is never decreasing. (Simplify your answer. Type your answer in interval notation. Type exact answers, using a as needed. Use a comma to separate answers as needed.) O D. The function is never increasing or decreasing.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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Find the intervals on which f is increasing and decreasing.
f(x) = - 3 sin2x on [- 1,7]
Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
O A. The function is increasing on the open interval(s)
(Simplify your answers. Type your answers in interval notation. Type exact answers, using n as needed. Use a comma to separate answers as needed.)
and decreasing on the open interval(s)
O B. The function is decreasing on the open interval(s)
The function is never increasing.
(Simplify your answer. Type your answer in interval notation. Type exact answers, using n as needed. Use a comma to separate answers as needed.)
O C. The function is increasing on the open interval(s). The function is never decreasing.
(Simplify your answer. Type your answer in interval notation. Type exact answers, using n as needed. Use a comma to separate answers as needed.)
O D. The function is never increasing or decreasing.
Transcribed Image Text:Find the intervals on which f is increasing and decreasing. f(x) = - 3 sin2x on [- 1,7] Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. The function is increasing on the open interval(s) (Simplify your answers. Type your answers in interval notation. Type exact answers, using n as needed. Use a comma to separate answers as needed.) and decreasing on the open interval(s) O B. The function is decreasing on the open interval(s) The function is never increasing. (Simplify your answer. Type your answer in interval notation. Type exact answers, using n as needed. Use a comma to separate answers as needed.) O C. The function is increasing on the open interval(s). The function is never decreasing. (Simplify your answer. Type your answer in interval notation. Type exact answers, using n as needed. Use a comma to separate answers as needed.) O D. The function is never increasing or decreasing.
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