How do you write #y=abs(x+2)# as a piecewise function?
Two pieces of the function become:
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To write (y = x + 2) as a piecewise function, consider the following cases:

When (x + 2 \geq 0), meaning (x \geq 2): (y = x + 2)

When (x + 2 < 0), meaning (x < 2): (y = (x + 2))
So, the piecewise function representation of (y = x + 2) is:
[y = \begin{cases} x + 2, & \text{if } x \geq 2 \ (x + 2), & \text{if } x < 2 \end{cases} ]
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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