# Consider the function # f(x)=−3x^3−4x^2−3x+3# on the interval [2,4], how do you find the average or mean slope of the function on this interval?

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To find the average or mean slope of the function ( f(x) = -3x^3 - 4x^2 - 3x + 3 ) on the interval [2,4], you calculate the slope between the two endpoints of the interval using the formula:

[ \text{Average slope} = \frac{{f(4) - f(2)}}{{4 - 2}} ]

Substitute the values of ( x = 4 ) and ( x = 2 ) into the function, then calculate the difference between the function values at these points. Finally, divide this difference by the difference in the x-values (4 - 2). This will give you the average slope of the function on the interval [2,4].

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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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