2. Determine the maximum and minimum value of the function f(x) = 2x' +3x² –12x + 2 over the interval – 4sxs2.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.101TI: Find the maximum or minimum value of the quadratic function f(x)=x28x+12.
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2. Determine the maximum and minimum value of the function
f(x) = 2x +3x –12x+ 2 over the interval – 4<x<2.
Rifa, Wajiha, and Philip are building a shed in the shape of a rectangular prism. The
volume of the shed is given by V (x) = 108x – 27x² + 2x³, where x is the height of
the shed in meters, for 0 < x< 4. Determine the height of a shed that has the
absolute maximum volume.
Transcribed Image Text:2. Determine the maximum and minimum value of the function f(x) = 2x +3x –12x+ 2 over the interval – 4<x<2. Rifa, Wajiha, and Philip are building a shed in the shape of a rectangular prism. The volume of the shed is given by V (x) = 108x – 27x² + 2x³, where x is the height of the shed in meters, for 0 < x< 4. Determine the height of a shed that has the absolute maximum volume.
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