Modulus Function

Modulus Function

IP 3

Sketch \(y=|x^2-4|-1.\)

  1. Label all axis intercepts and local maximum/minimum points.

  2. State the range.

  3. Use the graph to solve \(|x^2-4|<1\).

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Answer:(a) Roots \(\pm\sqrt3,\pm\sqrt5\); minima \((\pm2,-1)\); local maximum/\(y\)-intercept \((0,3)\); (b) Range \(y\geq-1\); (c) Inequality (\sqrt3<

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