A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box

in cubic inches, V, is related to the length of the side of the square cutout in inches, z. (13,36.61) a. The point (1, 35) is on the graph. This means that when the volume of the box is inch(es). cubic inches, the cutout length is b. When the cutout length is 2 inches, the volume of the box is 30 cubic inches. This means that the point above. is on the graph c. Suppose the smallest side of the original piece of paper was 7 inches long. This would nmean that we can't cut out more than half this amount, or 3.5 inches, from each corner of the paper. For this piece of paper, any z value greater than 3.5 inches would correspond to a cutout size that is too large for the original piece of paper, and hence would not be a possible cutout size for an actual box. Preview Since we cannot use cutout sizes greater than 3.5 inches with this piece of paper, the largest x-value that we can use with this piece of paper is 3.5 inches. Therefore the point furthest to the right on this graph (i.c., the z-intercept of the graph) is at an z-value of 3.5 inches. Based on this information, over what interval of a does the volume of the box formed from this piece of paper decrease as the cutout length gets larger? (Enter your answer as an interval.)