# How do you find the average rate of change of #h(x)=x^2+3x-1# over [x, x+h]?

For a function

The change's average rate is

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To find the average rate of change of ( h(x) = x^2 + 3x - 1 ) over the interval ([x, x+h]), you first need to find the value of ( h(x+h) ) and subtract ( h(x) ) from it. Then, divide the result by ( h ). The formula for the average rate of change is:

[ \text{Average rate of change} = \frac{h(x+h) - h(x)}{h} ]

Substitute ( x ) and ( x+h ) into the function ( h(x) ), perform the calculations, and then apply the formula.

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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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