Question

The depth d(x), in feet, of a circular swimming pool at a point x feet from the edge is represented by the function below.

The function d of x equals 1 plus one-eighth x]

If the depth varies from 1 foot to 4 feet, which inequality describes the domain of the function?

A. 0 ≤ x ≤ 8

B. 0 ≤ x ≤ 24

C. 0 ≤ x ≤ 40

D. 1 ≤ x ≤ 8

Answer 1

d(x) = 1 + (1/8)x

if the domain is restricted between and including 1 to 4 feet, which inequality represent that property.

Answer 2

The domain is just values of x you can input into a function, it can be restricted by mathematical rules or just by what makes sense in terms of what the function is used for. For example if you were dealing with a function that had time as its x-input you could possibly insert a negative value into the function (if it allowed such a thing) but it wouldn't make sense to because there is no such thing as negative time