Answer:
Domain in this situation is [ 3.5 , ∞ )
Step-by-step explanation:
Given:
Function is -16t² + 56t
This function gives the height, h of ball at time t.
So, h(t) = -16t² + 56t
To find : Domain of the function h(x)
We know that height of the ball can not be negative. So, put function greater than equal to 0.
⇒ h(t) ≥ 0
⇒ -16t² + 56t ≥ 0
-8t ( 2t - 7 ) ≥ 0
⇒ -8t ≥ 0
t ≥ 0
and 2t - 7 ≥ 0
2t ≥ 7
t ≥ 7/2
t ≥ 3.5
So, Domain of the function = { x : x ∈ R and x ≥ 3.5 } = [ 3.5 , ∞ )
Therefore, Domain in this situation is [ 3.5 , ∞ )
