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  • https://stats.libretexts.org/Under_Construction/Purgatory/FCC_-_Finite_Mathematics_-_Spring_2023/03%3A_Functions/3.14%3A_Absolute_Value_Functions/3.14.03%3A_Absolute_Value_Equations
    Because the point where the graph of y = a intersects the left-hand branch of y = |x| has y-coordinate y = a, the x-coordinate of this point of intersection is x = −a. Because the point where the grap...Because the point where the graph of y = a intersects the left-hand branch of y = |x| has y-coordinate y = a, the x-coordinate of this point of intersection is x = −a. Because the point where the graph of y = a intersects the right-hand branch of y = |x| has y-coordinate y = a, the x-coordinate of this point of intersection is x = a. Recall that for any real number x, the absolute value of x is defined as the distance between the real number x and the origin on the real line.

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