Question

A naval engineer uses the function, P, to analyze the effects of water pressure on submarines. The function P(d) measures the pressure exerted by water, where d represents the depth of the water in meters. Which of the followin could be a possible domain?
a. d is the set of all integers
b. d is the set off all integers where d is greater than 0
c. d is the set of all rational numbers
d. d is the set of all rational numbers where 0 is less than or equal to d less than or equal to the depth of the sea floor

Answer 1

The function that the naval engineer uses related P (pressure) and d (depth of ocean).

Is there any restriction on the domain ( d: depth of the ocean)? Yes!

The domain would be from 0 (at sea level or 0 depth) until the depth of the ocean (which is not infinite). Hence, we can write:

$0\leq d\leq DepthOfSeaFloor$

Choice D is the correct one.

ANSWER: D

Answer 2

D. d is the set of all rational numbers where {0< or equal to d < or equal to depth of sea floor