An open box is to be made from a flat piece of material 13 inches long and 4 inc

Question

An open box is to be made from a flat piece of material 13 inches long and 4 inches wide by cutting equal squares of length x from the corners and folding up the sides. Write the volume V of the box as a function x. Leave it as a product of factors, do not multiply the factors.

V(x)= ?

If we write the domain of V(x) as an open interval in the form (a,b), then what is a and b?

a=?

b=?

The value, v of a car that is t years old is given by v=f(t)=16,000-2,700t. Find the domain and range of f(t).

Please answer all parts of the question. Thanks!

Explanation / Answer

V(x) = (13-2x)(4-2x)x

a=0

b=2

Domain of f(t) : [0,5]

Range of f(t) : (2500 ,16000]

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