# Can average rate of change be negative?

Yes.

Recall that the rate of change may encompass factors other than just speed, such as acceleration.

Even though velocity is a scalar quantity and cannot be negative, it can be made negative by adding direction, which turns velocity into a vector.

Additionally, you decelerate, which is another word for negative acceleration, if your speed is dropping.

graph{sinx [-5, 5, 10, 10]}

We can see that your speed increases up to a certain point, after which it decreases to a certain point, indicating a negative rate of change (in this case, a decrease).

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Yes, the average rate of change can be negative. The average rate of change represents the average rate at which one quantity is changing with respect to another over a specified interval. If the quantity being measured decreases over that interval, the average rate of change will be negative. For example, if the temperature of a room decreases over a certain period of time, the average rate of change of temperature would be negative because the temperature is decreasing.

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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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