PRACTICE Cynthia is an engineer at a manufacturing plant. Her boss asks her to use rectangular metal sheets to build storage bins with the greatest possible volume. Each rectangular sheet is 8 feet by 10 feet. Cynthia's sketch shows the squares she removes from the corners of each sheet. The dashed lines indicate where she folds the metal sheets before she welds them to form the prism-shaped storage bins without tops. X X 26 novent elle X X -10 ft- X X X 1 Write a function V(x) to represent the volume of a bin in terms of the side length, x, of the removed squares. Explain your reasoning. 8 ft 2 Represent the function V(x) using technology. Determine the domain and range of the function. Determine the domain and range of the function as they relate to this problem situation. Explain your reasoning. BUDE DOYLINE 3 Determine the maximum volume of a bin. What are the dimensions of a bin with the maximum volume?
PRACTICE Cynthia is an engineer at a manufacturing plant. Her boss asks her to use rectangular metal sheets to build storage bins with the greatest possible volume. Each rectangular sheet is 8 feet by 10 feet. Cynthia's sketch shows the squares she removes from the corners of each sheet. The dashed lines indicate where she folds the metal sheets before she welds them to form the prism-shaped storage bins without tops. X X 26 novent elle X X -10 ft- X X X 1 Write a function V(x) to represent the volume of a bin in terms of the side length, x, of the removed squares. Explain your reasoning. 8 ft 2 Represent the function V(x) using technology. Determine the domain and range of the function. Determine the domain and range of the function as they relate to this problem situation. Explain your reasoning. BUDE DOYLINE 3 Determine the maximum volume of a bin. What are the dimensions of a bin with the maximum volume?
please help with this (not a graded assignment this is for practice!)
Transcribed Image Text:1 relative minimum
2 relative maximum
3 cubic function
PRACTICE
Ict of a quadratic and linear
function or three linear functions. You can write a cubic
function in the general form f(x) = ax³ + bx² + cx + d,
where a * 0.
3
Cynthia is an engineer at a manufacturing plant. Her
boss asks her to use rectangular metal sheets to build
storage bins with the greatest possible volume. Each
rectangular sheet is 8 feet by 10 feet. Cynthia's sketch
shows the squares she removes from the corners of
each sheet. The dashed lines indicate where she folds
the metal sheets before she welds them to form the
prism-shaped storage bins without tops.
X
X
0 26 nollants en len
X
-10 ft-
X
X
X
X
1 Write a function V(x) to represent the volume of a bin in terms of the side length, x, of the
removed squares. Explain your reasoning.
8 ft
2 Represent the function V(x) using technology. Determine the domain and range of the
function. Determine the domain and range of the function as they relate to this problem
situation. Explain your reasoning.
otomib oransjen
3 Determine the maximum volume of a bin. What are the dimensions of a bin with the
maximum volume?
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