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You find the slope of the tangent to the curve at the point of interest.

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12y ago

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What shows the speed on a distance-time graph?

The slope of the graph line or curve.


How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?

The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.


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By the slope of the curve.


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By the slope of the curve.


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A gradual change in the gradient (slope).


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The slope of the curve at each point on thegraph is the speed at that point in time. (Not velocity.)


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To find the maximum speed in a time-position graph, you would need to locate the steepest slope or the point with the highest gradient on the graph. This slope represents the highest rate of change in position over time, which corresponds to the maximum speed.


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You find the tangent to the curve at the point of interest and then find the slope of the tangent.


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