Question 2 (6 points) An open box is made by cutting four equal-sized squares from the corners of a rectangular piece of cardboard and folding up the sides. The volume of the box, V in3, depends on the side length of the cutout square, x in. The graph below is of V except it does not take into account restricting the x values to those feasible within the real-world context. (a). (1 point) What are two x values that appear on the graph, 604 V but do not make sense in context? Explain. 20+ ofx (b). (1 point) What are the coordinates of point A? Express using function notation. 404 (c). (1 point) Explain in a complete sentence(s) what V(1) represents in context. Be specific and include units (d). (2 points) As the side length of the cutout square increases through all reasonable values, what happens to the volume of the box? Explain in at least two sentences and be specific about how the volume changes as x changes. Include the max/min of the volume, when the volume increases/decreases, and units. (e). (1 point) Could the piece of cardboard used be 5"x7"? Justify your answer. Tip: Think about what the feasible domain (the domain in the context of making a box) is and how that relates to the size of the cardboard.Question 1 (9 points) Everyone in your group will make an open box from an 8.5"x5.5" paper. (a). (1 point) Take the paper (provided by TA) and remove four equal-sized squares from the corners. Fold it into a box. With the provided ruler below, measure your cutout length and the sides of the box in inches. Draw a diagram of the flat sheet of paper with these lengths in this space (b). (2 points) How do the dimensions and volume of your box compare to those of your group members? Write at least two complete sentence comparing and contrasting these. (c). (2 points) Generalize your diagram in (a) to cutout length x inches (x is an unknown length that can vary). On your diagram, label x and what becomes the length L, width W, and height H of the box once it is folded. Tip Write equations for L, W and H in terms of x. Draw diagram in this space - (d). (2 points) The volume of the box is a function, call it f, of the cutout length, x inches. Write an equation for f (x). Use function notation. (e). (1 point) What is the domain of f in context? Explain (no credit if not explained). (f). (1 point) Graph your equation on Desmos. What is the range of f in context