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2 marksGraphs of Non-Linear Functions

CSEC Mathematics · May/June 2018 · Paper 2 · Question 8(a)(ii)

The diagram on page 25 shows six points of the function y = 3x + 1/x. The coordinates of these six points are given in the table below.

On the diagram on page 25, the ordered pairs shown in the table have been plotted except for the missing ones. Using your answers in (a) (i), plot the missing points and connect all the points with a smooth curve.

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Other parts of this question

  1. 8(a)(i)Complete the table above by calculating and inserting the missing values of y.[2 marks]
  2. 8(a)(iii)By drawing an appropriate straight line on the diagram on page 25, find approximate solutions to the equation 3x + 1/x = 6.[3 marks]
  3. 8(b)(i)Calculate the acceleration, in ms⁻², of the car during Stage B.[1 mark]
  4. 8(b)(ii)Calculate the average speed of the car during Stage B.[3 marks]
  5. 8(b)(iii)At time t = 60 seconds, the car starts to slow down with a uniform deceleration of 2.5 ms⁻². Determine how long it will take the car to come to rest.[1 mark]

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