The function h of t is equal to negative 4 point 8 7 t squared plus 18 point 7 5 t is used to model the height of an object projected in the air, where h of t is the height in meters and t is the time in seconds. What are the domain and range of the function h of t ? Round values to the nearest hundredth.

The object is in the air from launch at t = 0 until its height returns to 0. Solving −4.87t² + 18.75t = 0 gives t = 0 or t = 18.75 ÷ 4.87 ≈ 3.85, so the domain is [0, 3.85]. The parabola opens downward, and its maximum height occurs at t = −18.75 ÷ (2 × −4.87) ≈ 1.92 seconds. Substituting this time gives a maximum height of about 18.05 meters, so the range is [0, 18.05], matching choice A.

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