Provide an appropriate response.What is the difference between the information provided by a secant line and the information provided by a tangent line?

A. The slope of a secant line is the instantaneous rate of change of a function at a point, whereas the slope of a tangent line is the average rate of change of a function over an interval.
B. The slope of a secant line drawn for a function f(x) is the average value of f(x) over an interval, whereas the slope of a tangent line is the instantaneous value of f(x) at a point.
C. The slope of a secant line is the average rate of change of a function over an interval, whereas the slope of a tangent line is the instantaneous rate of change of a function at a point.
D. A secant line touches the graph of a function just once, but a tangent line generally touches the curve twice.


Answer: C

Mathematics

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