Question

A marketing company is designing a new package for a box of cereal. They have determined that the function C(x) = 4.5 x2 models the cost of a box with side lengths as shown (measured in inches).
Identify a reasonable domain and range for the function.

Answer 1

So the function is

$\\ \rm\rightarrowtail y=4.5x^2$

As we know

• x²≥0
• x≥0

hence domain is

$\\ \rm\rightarrowtail D_f\in R$

• Least value of function is at x²=0 i.e 0

Hence range:-

$\\ \rm\rightarrowtail R_f\in [0,\infty)$