Question

HELP!! The function f(x) is the height of an object x seconds after it is launched in the air. The object reaches its maximum height in 2 s, and hits the ground at 5 s.
What is the practical domain for the function?

Question options:

A. whole numbers


B. all real numbers


C. [0,5]


D. (0,5)

Answer 1

Answer:

D. (0,5)

Step-by-step explanation:

We are given that,

The function f(x) represents the height of the object 'x' seconds after its launch in the air.

Also, the maximum height of the object is at 2 secs and the object hits the ground at 5 secs.

So, we get the following figure for the situation.

We have that,

Domain of the function is represented by the time after the object is launched i.e. the time when the object is in the air.

Since, the interval when the object is in the air is (0,5).

Hence, the domain of the given function should be (0,5).