The Student Room Group

C3 - Modulus Function

Sketch the graph of y=2x+1y = 2 - |x+1| and state the range of the function. (Graph)

My answer is y2y\leq2 but the book says y<2y<2.

Am I incorrect or is the book wrong? It could be simply disproved with

2 = 2 - |-1+1|, 2 = 2 (Maximum Point)

Just being extra cautious even though I'm almost certain I'm correct.
Reply 1
You are correct, and you can easily disprove the solution given as you have shown.

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