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it is infinite and is a parabola
Its first derivative is non-zero
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That is not a proper answer. All that it means is that the relationship between the two variables in question (x and y) is some nonlinear continuous function.
- It need not be infinite - a graph can be a circle: that is curved but is certainly not infinite. It could also be an ellipse, a hyperbola, a polynomial of any degree other than 1, an exponential or logarithmic curve, a trigonometric curve, or any combination of the above - as well as other curves.
- The point about the first derivative is true, but that also applies to any straight line that is not horizontal.
Actually the first derivative can be zero at specific point(s), but this is specifically true whereas a non-zero value is generally true.
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What does a curved line represent on a time vs distance graph?
The curved line on a time vs. distance graph represents that the object is accelerating.
What is a curve in math?
it is a line on a graph that is curved
Why is the line curved on a distance vs time graph?
The object is accelerating or decelerating in the radial direction.
What does a curved line on a graph indicate?
Nonlinearities. To be more specific you would have to provide more information.
What does a curved line on a distance versus time graph tell you?
It tells you that the velocity of the body is not constant. There is acceleration or deceleration.
