Question: Shipping boxes come in various sizes and shapes. Consider a box with a square base, whose base length must be greater than 5 cm.

Shipping boxes come in various sizes and shapes. Consider a box with a square base, whose base length must be greater than 5 cm.

The volume in cubic centimetres, V, of this box is given as

Shipping boxes come in various sizes and shapes. Consider a box with a square base, whose base length must be greater than 5 cm. The volume in cubic centimetres, V, of this box is given as V(x) = 3x + 24x + 15x - 150. x + 5 height x + 5 a. Write a combined function to represent the area of the base, A(x), if the side length of the base is x + 5. (Value: 1 mark) b. Graph A(x) on your calculator and state its domain and range. (Value: 2 marks) c. Determine the combined function h(x)= V(x). What does this function represent in this A(x) context? (Value: 4 marks) d. Graph h(x) on your calculator and state its domain and range. (Value: 2 marks)

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