Decreasing or increasing function

Find the set of x values for which a function is increasing or decreasing, using derivative or vertex analysis.

1 questions · Moderate -0.8

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CAIE P1 2010 November Q6
7 marks Moderate -0.8
6 A curve has equation \(y = \mathrm { f } ( x )\). It is given that \(\mathrm { f } ^ { \prime } ( x ) = 3 x ^ { 2 } + 2 x - 5\).
  1. Find the set of values of \(x\) for which f is an increasing function.
  2. Given that the curve passes through \(( 1,3 )\), find \(\mathrm { f } ( x )\).