Chef Aziz has some free time. He wants to work on a project to fill his...

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Chef Aziz has some free time. He wants to work on a project to fill his time so he decided to create a box from a rectangular sheet of a cardboard. The sheet is 20 inches by 30 inches. He cuts a small square of the side size from each corner and each side is folded up along the cuts to form a lidless box. a) Make a diagram to represent the given information. Make sure to label it. b) Write a polynomial to represent the volume of the created box. c) It's time to study the graph that we created. Usually, the domain of a polynomial function is all real numbers but in a real-life context, some values might not be accepted so chef Aziz is looking for a restricted domain. Find this restricted domain for chef Aziz. You can use the graph to elaborate your answer. d) It seems that the graph has two interesting points. Chef Aziz became curious about these two points which are called local maximum and local minimum. Find these points for chef Aziz if any. e) Deduce the range of your polynomial. Chef Aziz has some free time. He wants to work on a project to fill his time so he decided to create a box from a rectangular sheet of a cardboard. The sheet is 20 inches by 30 inches. He cuts a small square of the side size from each corner and each side is folded up along the cuts to form a lidless box. a) Make a diagram to represent the given information. Make sure to label it. b) Write a polynomial to represent the volume of the created box. c) It's time to study the graph that we created. Usually, the domain of a polynomial function is all real numbers but in a real-life context, some values might not be accepted so chef Aziz is looking for a restricted domain. Find this restricted domain for chef Aziz. You can use the graph to elaborate your answer. d) It seems that the graph has two interesting points. Chef Aziz became curious about these two points which are called local maximum and local minimum. Find these points for chef Aziz if any. e) Deduce the range of your polynomial.

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a Heres a textual representation of the diagram Chef Aziz cuts a square of side x from each corner o... View the full answer