Eileen constructed a rectangular metal box that has a width of x inches, a length of 3.5 inches more then it’s width, and a height of 1.75 inches less than its width.
Following is the graph of y=x(x+3.5)(x-1.75), where the x-axis represents the width of the box in inches, and the y-axis represents the volume of the box in cubic inches.
Considering the graph based on the situation, which statements are true?
Select all that apply.
1. The domain for the situation involves all real numbers.
2. The domain for the situation involves all x-values greater than 1.75.
3. The range for the situation involves all real numbers between 0 and approximately 138.13.
4. The maximum volume of the box is approximately 138.13 cubic inches, and the width of the box is 5 inches.
5. The range for the situation involves all y-values greater than 0.
6. To have a volume of approximately 138.13 cubic inches, the width of the box should be 5 inches.
