Function Applications Volume of a Cube – A packaging company is designing a new line of gift boxes. They want each box to be shaped like a cube, where the side lengths are all equal. Create a function that models the volume, of the box in cubic inches based on the side length, of the box in inches. s, V, Independent variable: Complete the table below: Dependent variable: Use function notation to express the function: We can say ___________________________ is a function of ____________________________. Graph the function on the axes below. Scale and label the axes. Write a sentence to express the meaning of the following equation. = 64 V(4) What are the domain and range of this function? Describe the shape of this graph. Use the Parent Function Reference Sheet.
Function Applications – Volume of a Cube A packaging company is designing a new line of gift boxes. They want each box to be shaped like a cube, where the side lengths are all equal. Create a function that models the volume, V, of the box in cubic inches based on the side length, s, of the box in inches. Independent variable: Dependent variable: Use function notation to express the function: We can say ___________________________ is a function of ____________________________. Write a sentence to express the meaning of the following equation. V(4) = 64 What are the domain and range of this function? Describe the shape of this graph. Use the Parent Function Reference Sheet. Complete the table below: Graph the function on the axes below. Scale and label the axes.