# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2009 | Oct-Nov | (P1-9709/12) | Q#4

Question Functions and are defined by for . i. Find the range of . ii. Sketch the graph of . iii. State, with a reason, whether has an inverse. Solution i. We have the function; We can write it as; We know that; Hereby; We can find the range of by substituting extreme possible values of ; Therefore; ii. […]