Modulus Function

Modulus Function

IP 3

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

  1. Complete the table.

    \(x\)\(-3\)\(-2\)\(-1\)\(0\)\(1\)\(2\)\(3\)
    \(y\)

  2. Label its intercepts and local maximum/minimum points.

  3. State its range and explain why it has no global maximum.

Solution:

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Answer:(a) Values \(5,0,3,4,3,0,5\); (b) Minima \((\pm2,0)\); Local maximum \((0,4)\); (c) Range \(y\geq0\).

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