Final answer:
False, a parametric curve for t is not always a line segment.
Step-by-step explanation:
The statement in question, The parametric curve, for t, is a line segment, is false.
A line segment has a constant slope, meaning that for every value of t, the rate of change of the curve remains the same. On the other hand, a parametric curve can take on various shapes, including curves and closed loops, which means that the rate of change can vary at different points.
Therefore, the statement that a parametric curve, for t, is always a line segment is incorrect. It is possible for a parametric curve to be a line segment, but it is not always the case.