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f(x) = 2 cos²(x) - 4 sin(x), 0 ≤ x ≤ 2π (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) π 3π 2' 2 Find the interval on which f is decreasing. (Enter your answer using interval notation.) (0.).( 0,- )·(³ 2 2 3π (b) Find the local minimum and maximum values of f. local minimum value -4 local maximum value 4 (x, y) = ( (c) Find the inflection points. (x, y) = ( ,2π π 2 5π 6 " 1 2 x) (smaller x-value) (larger x-value)

f(x) = 2 cos²(x) - 4 sin(x), 0 ≤ x ≤ 2π (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) π 3π 2' 2 Find the interval on which f is decreasing. (Enter your answer using interval notation.) (0.).( 0,- )·(³ 2 2 3π (b) Find the local minimum and maximum values of f. local minimum value -4 local maximum value 4 (x, y) = ( (c) Find the inflection points. (x, y) = ( ,2π π 2 5π 6 " 1 2 x) (smaller x-value) (larger x-value)

Algebra & Trigonometry with Analytic Geometry
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 44E
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I got all the answers right except the smaller (x,y) inflection point.

f(x) = 2 cos²(x) — 4 sin(x), 0 ≤ x ≤ 2π (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) π 3π 2 2 Find the interval on which f is decreasing. (Enter your answer using interval notation.) 3π (0,5). ( ²5, 2x) 2 2 (b) Find the local minimum and maximum values of f. 4 local minimum value local maximum value 4 (c) Find the inflection points. (x, y) = ( 4 (x, y) = ( π 2 5π 6 2 - 1 ) (smaller x-value) ) (larger x-value)
Transcribed Image Text:f(x) = 2 cos²(x) — 4 sin(x), 0 ≤ x ≤ 2π (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) π 3π 2 2 Find the interval on which f is decreasing. (Enter your answer using interval notation.) 3π (0,5). ( ²5, 2x) 2 2 (b) Find the local minimum and maximum values of f. 4 local minimum value local maximum value 4 (c) Find the inflection points. (x, y) = ( 4 (x, y) = ( π 2 5π 6 2 - 1 ) (smaller x-value) ) (larger x-value)
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