Modulus Function - Graphs of Modulus Function
Modulus Function - Graphs of Modulus Function
IP 3
- Show that the expression \(\left| 4x-6 \right|+\left| 9-6x \right|\) can be simplified to the form \(k\left| 2x-3 \right|\) where \(k\) is an integer.
- Sketch the graph of \(y=\left| 4x-6 \right|+\left| 9-6x \right|-2\).
- Hence, determine the range of values of \(m\) for which the line \(y=mx-5\) cuts the graph \(y=\left| 4x-6 \right|+\left| 9-6x \right|-2\) at \(2\) points.
Solution:
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Answer:(i) \(k=5\). (iii) \(2<m<10\).
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