Question

One square has an area that is 10 cm^2 larger than another. What is a reasonable domain for the area of the larger square

Answer 1

Answer :

The domain is (0, ∞ )

Explanation :

Suppose x be the area of the smaller square ( in square cm ) and y be the area of the larger square ( in square cm ),

According to the question,

y = x + 10,

Since, domain = all possible value of input value,

For the function y = x + 10

x is the input value,

∵ x can not be negative ( area can not negative ) or zero ( if area is 0 square can not be exist )

Thus, the possible value of x are (0, ∞)

Hence, the domain of the larger square is (0, ∞)

Answer 2

Given that the area can take any positive real number, the larger square hast to be more than 10 cm^2, then the domain for the area of the larger square is all the real numbers greater than 10 cm^2