Identify the inflection points and local maxima and minima of the function graphed to the right. Identify the intervals on which it is concave up and concave down. 5x y= - 3x+ sin 6x, -SxS T 5x Find the inflection point(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no inflection points. Find each local maximum. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is one local maximum value of at x= OB. There are two local maxima. In increasing order of x-value, the values are at x= and at x= O C. There are no local maxima Find each local minimum. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is one local minimum value of at x= O B. There are two local minima. In increasing order of x-value, the values are at x= and at x= OC. There are no local minima.

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 67E
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Identify the inflection points and local maxima and minima of the function graphed to the right. Identify the intervals on which it is concave up and concave down.
5n
y = - 3x+ sin 6x,
18
18
Find the inflection point(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The point(s) is/are
(Type an ordered pair. Use a comma to separate answers as needed.)
O B. There are no inflection points.
Find each local maximum. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. There is one local maximum value of
at x=
O B. There are two local maxima. In increasing order of x-value, the values are
at x=
and
at x=
O C. There are no local maxima.
Find each local minimum. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. There is one local minimum value of
at x=
O B. There are two local minima. In increasing order of x-value, the values are
at x =
and
at x =
O C. There are no local minima.
Identify the interval(s) on which the function is concave up. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The interval(s) is/are
(Use a comma to separate answers as needed. Type your answer in interval notation.)
O B. The function is never concave up.
Identify the interval(s) on which the function is concave down. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The interval(s) is/are
(Use a comma to separate answers as needed. Type your answer in interval notation.)
O B. The function is never concave down.
Transcribed Image Text:Identify the inflection points and local maxima and minima of the function graphed to the right. Identify the intervals on which it is concave up and concave down. 5n y = - 3x+ sin 6x, 18 18 Find the inflection point(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no inflection points. Find each local maximum. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is one local maximum value of at x= O B. There are two local maxima. In increasing order of x-value, the values are at x= and at x= O C. There are no local maxima. Find each local minimum. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is one local minimum value of at x= O B. There are two local minima. In increasing order of x-value, the values are at x = and at x = O C. There are no local minima. Identify the interval(s) on which the function is concave up. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The interval(s) is/are (Use a comma to separate answers as needed. Type your answer in interval notation.) O B. The function is never concave up. Identify the interval(s) on which the function is concave down. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The interval(s) is/are (Use a comma to separate answers as needed. Type your answer in interval notation.) O B. The function is never concave down.
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