The height of a model rocket, H(t), is a function of the time since it was launched, t.What is the domain of H(t)?A.0 ≤ t ≤ 324B.0 ≤ t ≤ 36C. t ≤ 324D. t > 0

The domain of H(t) is

The correct answer is option B. 0 ≤ t ≤ 36

To do this question, the main thing is to look at picture.

We know from the graph that this is a quadratic function, So t has to be less than some positive number.

{ if t → -∞, H(t) → -∞, not in the line with the actual situation}

and look at the graph, the point where H(t) equals zero, one is 0 and one is 36.

Therefore: the domain of H(t) is .

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Step-by-step explanation:

Given

The graph of h(t)

Required

Determine the domain

t represents the horizontal data and according to the graph;

The value of t starts at 0 (the beginning of the curve)

and ends at 36 (the end of the curve)

These values are the domain of the graph, and it can be represented as:

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2