Separate branches of a reciprocal curve

Separate branches of a reciprocal curve

Secondary 3
6 marks
TGM Original Questions

For \(-4\le x\le4\), with \(x\ne0\), \(y=\dfrac4x\).

\(x\)-4-2-1124
\(y\)-1-441
  1. Complete the table.[2]
  2. Plot the points and draw the two separate branches on the grid.[3]
  3. Explain why the two branches must not be joined through \(x=0\).[1]

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Answer:(a) \(-2,2\). (b) See branches. (c) \(\dfrac40\) is undefined.

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