#### Read Mathematics Paper I Answer Sheet Marking Guidelines (2010) text version

`NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 2010MATHEMATICS: PAPER I MARKING GUIDELINES Time: 3 hours 150 marksANSWER SHEETQUESTION 5 (a) Given p ( x) = - 3x 2 Determine the equation of the inverse of p stating its domain and range. Inverse :y2(5)x = - 3y 2= - x 3MAChanging subject of formulaMust be shown Domain : Range :y = ± -x  0 y Rx 3AAAIEB Copyright © 2010PLEASE TURN OVERNATIONAL SENIOR CERTIFICATE: MATHEMATICS: PAPER I ­ ANSWER SHEET MARKING GUIDELINESPage ii of ii-1(b)Given (1)f ( x) = 2 x ,g ( x) =f ( x - 2) and h( x) =f( x) (2)Write down the equations of g and h in the form y = ...g : y = 2 x -2 h : y = log 2 x (2)A AOn the set of axes where f is already drawn for you, add the graphs for g and h. Label your graphs clearly. y(4)5 4 3 2Af gA AhExp g: shape (2; 1) or (3; 2) or (4; 4) Log h: shape (1; 0) 5 x (2; 1) or (4; 2)1A­3 ­2 ­1 ­1 ­2 ­3(3)1234Allexp: crossing x-asis Shape mark or log crossing y-axis not givenSolve for x if g(x) = h(x).(1)x = 2CA[12]IEB Copyright © 2010`

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##### Mathematics Paper I Answer Sheet Marking Guidelines (2010)

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