The graph shows the height of a tennis ball launched into the air as time (in seconds) increases.
The height of the ball is a(n) Choose… function of time on interval a, and a(n) Choose… function on interval b.
What intervals do the height of the tennis ball launched into the air as a function of time on?
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To answer your question about the function of height versus time for a tennis ball launched into the air, we need to consider the behavior of the ball during its flight.
1. Interval a: When the ball is rising, the height of the ball generally increases as time goes on. This makes height a linear function of time because it shows a positive slope as it goes up.
2. Interval b: Once the ball reaches its peak height and begins to fall back to the ground, the height decreases with time. This often resembles a quadratic function because it demonstrates a parabolic shape, typically represented by ( h(t) = -at^2 + bt + c ), where it opens downwards.
In summary:
– For interval a, the height is a linear function.
– For interval b, the height is a quadratic function.
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