31–34 ■ Proportionality A statement describing the relationship between the variables x, y, and z is given. (a) Express thestatement as an equation of proportionality. (b) If x is tripled andy is doubled, by what factor does z change? (See Example 3.)31. z varies directly as the cube of x and inversely as the square of y.32. z is directly proportional to the square of x and inversely proportional to the fourth power of y.33. z is jointly proportional to the cube of x and the fifth power of y.34. z is inversely proportional to the square of x and the cube of y.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.