How do you find the average rate of change of #f(x) = x^4 + 3x^3 - 5x^2 + 2x - 2# over the interval [-1,1]?
5
The average rate of change of a function over an interval between 2 points (a ,f(a)) and (b ,f(b)) is
here the 2 points are (-1 ,f(-1)) and (1 ,f(1))
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To find the average rate of change of ( f(x) = x^4 + 3x^3 - 5x^2 + 2x - 2 ) over the interval ([-1,1]), you first calculate the values of ( f(-1) ) and ( f(1) ), then use the formula for average rate of change:
[ \text{Average rate of change} = \frac{f(1) - f(-1)}{1 - (-1)} ]
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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.
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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