4 Determine any relative maximums or relative minimums of V(x). Then, determine the intervals over which the function is increasing and decreasing. 5 Determine the x- and y-intercepts of the graph of V(x). What do they represent in this problem situation? 6 Cynthia's boss asks her to make several bins with volumes of exactly 40 cubic feet. Determine the hin dimoncions that will n

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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hello please help with 4,5,6 these are all apart of 1 question btw!! the first page is meant for reference so you can solve the next page thank you! also this is a practice assignment not graded!!

Carnegie Learning, Inc.
provide an example of each
relative minimum
rotative maximum
cubic function
PRACTICE
paper for your
A cubic function is the product of à quadratic and
function or three linear functions. You can with a cubic
function in the general form fug=cbx² + cx-d
where a Q.
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
actangular sheet is 8 feet by 10 feet. Cynthia's sketch
shows the squares she removes from the corners of
och sheet. The dashed lines indicate where she folds
the metal sheets before she welds them to form the
prism-shaped storage bins without tops.
-10 h
Write a function Voo to represent the volume of a bin in terms of the side length, x, of the
removed squares. Explain your reasoning.
VX) = 423-36x² +50x
HC for ho
RAFIC questions.
2 Represent the function VX) 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.
domain: (0,00)
Range! (0,00)
3 Determine the maximum volume of a bin. What are the dimensions of a bin with the
maximum volume?
Max Volume =
V=5215 FLS
timensions;
L = 4 + 2√2+ F
3 2√ F1
w=-2²+
H = 3 -
Transcribed Image Text:Carnegie Learning, Inc. provide an example of each relative minimum rotative maximum cubic function PRACTICE paper for your A cubic function is the product of à quadratic and function or three linear functions. You can with a cubic function in the general form fug=cbx² + cx-d where a Q. 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 actangular sheet is 8 feet by 10 feet. Cynthia's sketch shows the squares she removes from the corners of och sheet. The dashed lines indicate where she folds the metal sheets before she welds them to form the prism-shaped storage bins without tops. -10 h Write a function Voo to represent the volume of a bin in terms of the side length, x, of the removed squares. Explain your reasoning. VX) = 423-36x² +50x HC for ho RAFIC questions. 2 Represent the function VX) 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. domain: (0,00) Range! (0,00) 3 Determine the maximum volume of a bin. What are the dimensions of a bin with the maximum volume? Max Volume = V=5215 FLS timensions; L = 4 + 2√2+ F 3 2√ F1 w=-2²+ H = 3 -
N
as
r
STRE
5 Determine the x- and y-intercepts of the graph of V(x). What do they represent in this
problem situation?
4 Determine any relative maximums or relative minimums of V(x). Then, determine the intervals
over which the function is increasing and decreasing.
6Cynthia's boss asks her to make several bins with volumes of exactly 40 cubic feet.
Determine the bin dimensions that will work.
ste bin with the
angine
or sh
sw
ngula heet is Te
OV
s the quar ne mo
d linsite
the
Continued
remed squarer
unction to represent the
C
Smetal t
plant. H
ole vol Each
eet. Nik
sketch
from e sheet
e folde met mes
the s
edrage
Transcribed Image Text:N as r STRE 5 Determine the x- and y-intercepts of the graph of V(x). What do they represent in this problem situation? 4 Determine any relative maximums or relative minimums of V(x). Then, determine the intervals over which the function is increasing and decreasing. 6Cynthia's boss asks her to make several bins with volumes of exactly 40 cubic feet. Determine the bin dimensions that will work. ste bin with the angine or sh sw ngula heet is Te OV s the quar ne mo d linsite the Continued remed squarer unction to represent the C Smetal t plant. H ole vol Each eet. Nik sketch from e sheet e folde met mes the s edrage
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