How do you write #x=y+1+4# as piecewise functions?
Since the equation in rotated due to have x and y switched, we will use y values as the constraints.
Finally, write the piecewise function using the vertex to find the constraints and the yintercepts to find the function that each section of the original will become.
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To write ( x = y + 1 + 4 ) as piecewise functions, consider the cases for the absolute value:

When ( y + 1 \geq 0 ) (or ( y \geq 1 )): ( x = (y + 1) + 4 = y  1 + 4 = y + 3 )

When ( y + 1 < 0 ) (or ( y < 1 )): ( x = ((y + 1)) + 4 = ( y  1) + 4 = y + 1 + 4 = y + 5 )
So, the piecewise function is:
[ x = \begin{cases} y + 3 & \text{if } y \geq 1 \ y + 5 & \text{if } y < 1 \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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