Suppose a curve is given by the parametric equations x = f(t), | y = g(t), | whe

Question

Suppose a curve is given by the parametric equations x = f(t), | y = g(t), | where the range of f| is [1, 5] and the range of g| is [-3, 6]. What can you say about the curve? You must select all correct choices to get full credit on this problem Nothing can be said about the curve. The curve is the line with endpoints (1, -3) and (5, 6). The curve is a circle with center (1, -3) and radius 6. The curve is completely contained in the rectangle [1, 5] by [-3, 6]. The curve must lie outside the rectangle [1, 5] by [-3, 6). The curve must lie inside a circle with center (1, -3) and radius 0.5.

Explanation / Answer

In this case, we can say that the graph of the curve is contained in the rectangle with x values between 1 and 5, and y values between -3 and 6.

Thus option D is correct

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