Graph the function f(x)=x^{3}f(x)=x 3 using a graphing utility. On what interval is the function increasing?

Explanation:

Density of a substance is defined as mass divided by its volume.

Mathematically,         Density =

So, density is proportional to the mass of substance. Hence, an increase in mass will lead to increase in density of the substance also.

Whereas density is inversely proportional to volume of a substance. Hence, an increase in volume will lead to a decrease in density of the substance.

So, when densities of two objects that have the same volume, but one feels heavier than the other then it means mass of one object is greater than the other.

Hence, density of one object is greater than the other. That is why, one feels heavier than the other.