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Choose the correct branch of a modulus graph

Sketch the graphs of y=x−1y=x-1 and y=∣x2−3∣y=|x^2-3| on the same axes and determine the coordinates of the point of intersections of these two graphs.

CJC · Lecture · Example 10

Split the modulus according to the sign of x²−3, then keep each candidate only on the branch whose equation produced it.

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