Question

A box is formed by cutting squares from the four comers of a 11"-wide by 13"-long sheet of paper and folding up the sides. Let a represent the length of the side of the square cutout (In inches), and let v represent the volume of the box (in cubic Inches)

a. Write a formula that expresses V in terms of x. V = l*b*h l*b*h syntax error.Check your variable you might be using an incorrect one.
b. Suppose the function f determines the volume of the box (in cubic Inches) given (or in terms of a cutout length in inches,x .Write a function formula for f(x)________ (c) What is the domain of f? Enter your answer as an interval. ____________. (d) What is the range of f? Enter your answer as an interval. ____________

Answer 1

The volume of the box can be expressed using the formula V = a*(11-2a)*(13-2a). The domain of the function is 0 <= x <= 5.5 and the range is V >= 0.

Step-by-step explanation:

To express the volume of the box in terms of the side length of the square cutout, you can use the formula V = a*(11-2a)*(13-2a), where V represents the volume and a represents the side length of the square cutout.

For part b, the function formula for f(x) will be f(x) = x*(11-2x)*(13-2x).

The domain of f(x) is the set of all possible values of x that make the formula valid, which in this case is 0 <= x <= 5.5.

The range of f(x) is the set of all possible values of the volume, which in this case is V >= 0.