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2 marksProblem Solving with Graphs

CSEC Mathematics · Question 9(b)(iii)

The incomplete table below shows values of x and y for the function y = 2ˣ for integer values of x from -1 to 4.

Drawing appropriate lines on your graph, determine the value of x for which 2ˣ = 11.

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Other parts of this question

  1. 9(a)(i)Show, by calculation, that the EXACT roots of the quadratic equation x² + 2x - 5 = 0 are -1 ± √6.[3 marks]
  2. 9(a)(ii)Hence, or otherwise, solve the simultaneous equations 2 + x = y and xy = 5.[4 marks]
  3. 9(b)(i)Complete the table for the function y = 2ˣ.[2 marks]
  4. 9(b)(ii)On the grid provided on page 27, draw the graph of y = 2ˣ, using a scale of 2 cm to represent 1 unit on the x-axis and 1 cm to represent 1 unit on the y-axis.[4 marks]

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