How do you graph #y = abs(x + 4)#?
This is an upsidedown V shape with arms having slope
graph{abs(x+4) [13.38, 6.62, 5.84, 4.16]}
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To graph the equation ( y = x + 4 ), follow these steps:

Identify the vertex of the absolute value function, which is the point where the absolute value function intersects the xaxis. In this case, the vertex is at (4, 0).

Plot the vertex on the coordinate plane.

Determine the direction of the graph. Since the coefficient of the absolute value function is negative (1), the graph will be reflected across the xaxis.

Plot additional points on both sides of the vertex. Substitute values of x into the equation to find corresponding yvalues. Choose values to the left and right of the vertex for symmetry.

Connect the points with a smooth curve, reflecting the graph across the xaxis.
Following these steps, you will obtain the graph of ( y = x + 4 ).
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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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