# How do you graph and find the vertex for #abs y=x#?

The vertex of a function containing a modulus is typically at the point where the enclosed expression changes sign.

graph{x=abs(y) [-10, 10, -5, 5]}

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To graph ( y = |x| ), plot points for ( y ) based on the absolute value of ( x ). The vertex of the absolute value function ( y = |x| ) is at the origin (0, 0). Therefore, the vertex for the function is (0, 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.

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