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3 years ago

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

Mathematics

1 answer:

RSB [31]3 years ago

3 0

Answer:

Step-by-step 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.

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