# What is the average rate of change formula for a function?

For a function

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The average rate of change formula for a function ( f(x) ) over the interval ([a, b]) is given by:

[ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} ]

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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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- You hit a golfball vertically upward with your pitching wedge. The position function of the ball is s(t) = -3t^2+30t where the origin is at ground level and the positive direction is vertically upward. (Distance is in metres). Help!?

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