75.2k views
1 vote
H(t)=-16t^{2}+100t+10 find the domain and range. please

User TommySM
by
5.8k points

1 Answer

1 vote

Answer:

Explanation:

The graph of this function is that of a parabola that opens down (due to the negative coefficient of t^2). The axis of symmetry is

-b -100

x = --------- = ----------- = 50/16 = 25/8.

2a 2(-16)

The y value of the vertex is h(25/8) = -16(25/8)^2 + 100(25/8) + 10, or 166/25.

The largest value this function can take on is 166/25. Thus, the range is

(-infinity, 166/25).

Since the given function is a polynomial, the domain consists of all real numbers.

User Ernad
by
5.1k points