The function h(t)=-6t^2 +98t graphed below shows the height, in feet, of a kicked soccer ball as a function of time, in seconds.
A reasonable domain of this function is
A reasonable range of the function is
The domain of the function is the set of all possible values for the independent variable, which in this case is time. In the context of the problem, time cannot be negative, since it represents the time after the ball was kicked. Therefore, a reasonable domain for this function would be t ≥ 0.
The range of the function is the set of all possible values for the dependent variable, which in this case is the height of the soccer ball. The height of the soccer ball can be negative (below ground level) and there is no maximum value specified in the problem. Therefore, a reasonable range for this function would be all real numbers: h(t) ∈ (-∞, ∞).