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HELP what is the restricted domain for this to be a one-to- one function

HELP what is the restricted domain for this to be a one-to- one function-example-1
User Bhelx
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Answer: Choice C) x is greater than or equal to 2

If you only focus on x values that are 2 or larger, then y = |x-2| reduces down into y = x-2. We can drop the absolute value bars because the entire branch to the right of x = 2 is a single straight line. The graph on this region is no longer a V shape that is associated with absolute value graphs. So this straight line is one-to-one meaning each input leads to a different unique output. No outputs are repeated. Note: the vertex is located at (x,y) = (2,0) which is where the junction point is located; this is the lowest point of the V shape.

User Chaim Geretz
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