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the graph of y = |x| (absolute value of x) looks like a V with the point of the V at the origin.

When x is negative (left half of graph), the line y = -x coincides with |x| so this half has a slope of -1.

When x is positive (right half of graph), the line y = x coincides with |x| so this half has a slope of +1.

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Q: How do the slopes of the two parts of an absolute value function compare?
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