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What is the steepness in a distance time graph?
That's the speed.
What does the steepness of a line on a time-distance graph represent?
The steepness of the line on a distance-time graph represents the radial speed of the object. That is, the speed with which the object is moving towards or away from the origin. The steepness takes absolutely no account of the transverse speed, so you can be going around the origin in a circle at a great speed but, since your distance remains the same, the D-T graph will be flat: implying speed = 0.
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.
Why the slope of horizontal is zero?
assuming you're speaking of a horizontal line on a graph: It is because the line moves neither up or down. slope is the steepness of a line and a horizontal line isn't steep at all, it has no steepness.
Where is the exponential growth happening in the graph shown above?
point a.
