Intersections of Absolute Value Functions

Two absolute value functions are given. Find their intersection points. In every case, it helps to quickly sketch the graph to know what to expect.

1. f(x) = |x| and g(x) = 1 – |x|

2. f(x) = |x| and g(x) = |x – 3|

3. f(x) = |x|  and g(x) = |2x| – 4

4. f(x) = |x| and g(x) = |x – 3|/2

5. f(x) = |x + 1| and g(x) = |x – 1|

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|/4

5.