Quadratics (CIE-P1-2015) Archives — O/A Level Solutions

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Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | Oct-Nov | (P1-9709/13) | Q#8

Hits: 760 Question The function  is defined by  for , where a is a constant. The function  is  defined  for .      i.       Find the largest value of a for which the composite function can be formed. For the case where ,    ii.       solve the equation ,   iii.       find the set of values of  which satisfy the inequality . Solution i. […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | Oct-Nov | (P1-9709/13) | Q#3

Hits: 515 Question i.       Express  in the form , where a, b and c are constants.  ii.   The function, where , is defined for . Find  and state, with       a reason, whether  is an increasing function, a decreasing function or neither. Solution i.   We have the expression; We use method of “completing square” to obtain […]