Functions

Functions

Consider \(f(x) = 2kx^2 - 4kx + 1\), for \( k \neq 0\). The equation \(f(x) = 0\) has two equal roots.

  1. Find the value of \(k\).
  2. The line \(y = p\) intersects the graph of \(f\). Find all possible values of \(p\).

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Answer:(a) \(k=\dfrac12\) (b) \(p\ge0\)

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