# Answerd x 3 e by drawing a tangent at the point 3 06

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Answer(d) x = ................................................. [3] (e) By drawing a tangent at the point (–3, –0.6), estimate the gradient of the graph of y = f( x ) when x = –3. Save My Exams! – The Home of Revision For more awesome GCSE and A level resources, visit us at
2 The table shows some values for y 3 = x - 3 x + 2 x –2 –1.5 –1 –0.5 0 0.5 1 1.5 2 y 3.125 3.375 2 0 4 (a) Complete the table of values. [4] . (b) On the grid, draw the graph of y 3 = x - 3 x + 2 for –2 x 2. –1 0 1 2 3 4 5 –2 –1 1 2 x y [4] (c) By drawing a suitable line, solve the equation x - 3 x 3 + 2 = x + 1 for –2 x 2. [3] (d) By drawing a suitable tangent, find an estimate of the gradient of the curve at the point where x = - 1.5 . Answer(d) ............................................... [3] Save My Exams! – The Home of Revision For more awesome GCSE and A level resources, visit us at
3 The table shows some values of y = x 3 + 3 x 2 – 2. x –3 –2.5 –2 –1.5 –1 –0.5 0 0.5 1 y –2 1.13 1.38 –1.38 –1.13 [3] (a) Complete the table of values. (b) On the grid, draw the graph of y = x 3 + 3 x 2 – 2 for –3 x 1. y x 3 2 1 –1 –2 –3 0 –1 –2 –3 1 [4] (c) By drawing a suitable line, solve the equation x 3 + 3 x 2 – 2 = 1 2 ( x + 1). Answer(c) x = .................... or x = .................... or x = .................... [4] (d) By drawing a suitable tangent, find an estimate of the gradient of the curve at the point where x = –1.75 . Save My Exams! – The Home of Revision For more awesome GCSE and A level resources, visit us at
4 A , B and C are points on a circle, centre O .