Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x) = -x3+3x² +24x-4 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. OA. There are no relative maxima. The function has a relative minimum of at x= (Use a comma to separate answers as needed.) OB. The function has relative minimum of at x= and a relative maximum of at x= (Use a comma to separate answers as needed.) OC. There are no relative minima. The function has a relative maximum of (Use a comma to separate answers as needed.) OD. There are no relative extrema. at x= ← After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times, held upright, and uncorked, its cork travels according to the function below, where s is its height (in feet) above the ground t seconds after being released. s(t) = - 16t² + 30t+2 a. How high will it go? b. How long is it in the air? a. The cork will go feet. (Round to the nearest whole number as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
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Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema.
f(x) = -x3+3x² +24x-4
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
OA. There are no relative maxima. The function has a relative minimum of
at x=
(Use a comma to separate answers as needed.)
OB. The function has relative minimum of at x=
and a relative maximum of
at x=
(Use a comma to separate answers as needed.)
OC. There are no relative minima. The function has a relative maximum of
(Use a comma to separate answers as needed.)
OD. There are no relative extrema.
at x=
Transcribed Image Text:Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x) = -x3+3x² +24x-4 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. OA. There are no relative maxima. The function has a relative minimum of at x= (Use a comma to separate answers as needed.) OB. The function has relative minimum of at x= and a relative maximum of at x= (Use a comma to separate answers as needed.) OC. There are no relative minima. The function has a relative maximum of (Use a comma to separate answers as needed.) OD. There are no relative extrema. at x=
←
After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times,
held upright, and uncorked, its cork travels according to the function below, where s is its height (in feet) above the ground t seconds after being released.
s(t) = - 16t² + 30t+2
a. How high will it go?
b. How long is it in the air?
a. The cork will go feet.
(Round to the nearest whole number as needed.)
Transcribed Image Text:← After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times, held upright, and uncorked, its cork travels according to the function below, where s is its height (in feet) above the ground t seconds after being released. s(t) = - 16t² + 30t+2 a. How high will it go? b. How long is it in the air? a. The cork will go feet. (Round to the nearest whole number as needed.)
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