How do you graph #y = -abs(x+10)#?
First, lets remember the absolute value operator:
To find the critical point in this problem:
Now we are ready to graph the line.
The graph will look like this:
graph{y = - abs(x+10) [-20, 10, -5, 5]}
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To graph ( y = -|x + 10| ), follow these steps:
- Identify the vertex of the absolute value function, which is at the point (-10, 0).
- Plot the vertex on the coordinate plane.
- Since the coefficient of ( x ) is negative, the graph will open downwards.
- Determine the points to the left and right of the vertex.
- Plot these points symmetrically around the vertex.
- Connect the points with a smooth curve.
The resulting graph will be a downward-facing V-shape with the vertex at (-10, 0).
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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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