Area involving absolute values

A question is this type if and only if the integrand contains an absolute value function and requires consideration of where the function changes sign.

1 questions · Standard +0.8

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OCR C3 Q6
9 marks Standard +0.8
  1. Sketch on the same diagram the graphs of \(y = |x| - a\) and \(y = |3x + 5a|\), where \(a\) is a positive constant. Show on your diagram the coordinates of any points where each graph meets the coordinate axes. [5]
  2. Solve the equation $$|x| - a = |3x + 5a|.$$ [4]