Question

f the function f(y) = n models the number, n, of inches a tree grows in a year, y, which describes an appropriate domain for the function? A) all integers where y > 0 B) all integers where y ≥ 0 C) all rational numbers where y > 0 D) all rational numbers where y ≥ 0

Answer 1

D) all rational numbers where y ≥ 0

Explanation:

The complete question is

If the function f(y) = n models the number of inches a tree grows in a (y) year, which describes an appropriate domain for the function?

A) all integers where y > 0

B) all integers where y ≥ 0

C) all rational numbers where y > 0

D) all rational numbers where y ≥ 0

It's important to notice that a function like
`f(y)` has variable
`y` as independent, which means the domains is a y-variable set.

Now, we are talking about height, which must be modelated by a rational number, because heights can be decimals.

Therefore, an appropiate domain for this function is D) all rational numbers where y ≥ 0, because we must include positive numbers only, negative numbers don't make sense to this problem.