What is the relationship between the Average rate of change of a function and a secant line?

Answer 1

The slope of the corresponding secant line indicates the average rate of change of a function.

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Answer 2

The average rate of change of a function over a specific interval is represented by the slope of the secant line passing through two points on the graph of the function corresponding to the endpoints of the interval. In other words, the average rate of change is equal to the slope of the secant line connecting two points on the function's graph.

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Answer 3

The average rate of change of a function between two points is equal to the slope of the secant line that connects those two points on the graph of the function. In other words, the average rate of change represents the ratio of the change in the function's output (y-values) to the change in the function's input (x-values) over a specified interval. This ratio is equivalent to the slope of the secant line passing through the two points on the graph. Therefore, the average rate of change and the slope of the secant line are directly related concepts in calculus and graph theory.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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