Reading a reciprocal-square graph

Reading a reciprocal-square graph

Secondary 3
4 marks
TGM Original Questions

The graph shows \(y=\dfrac4{x^2}\), where \(x\ne0\).

  1. Read the two values of \(x\) when \(y=1\).[1]
  2. Explain why the graph has no points below the \(x\)-axis.[1]
  3. Kai says this is the graph of \(y=\dfrac4x\). Use one point to show that Kai is wrong.[2]

Solution:

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Answer:(a) \(-2,2\). (b) \(\dfrac4{x^2}>0\). (c) For example, \((-2,1)\) is not on \(y=\dfrac4x\).

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