Official papers

Official 2017 Paper 2 · Q7

Paper 2Logic & proof

The graphs of two functions are shown here:

  • y=axy=a^x is shown with a solid line, where aa is a positive real number
  • y=f(x)y=f(x) is shown with a dashed line

Diagram for question 7 Which of the following statements (1, 2, 3, 4) could be true?

  • 1 f(x)=bxf(x)=b^x for some b>ab>a
  • 2 f(x)=bxf(x)=b^x for some b<ab<a
  • 3 f(x)=akxf(x)=a^{kx} for some k>1k>1
  • 4 f(x)=akxf(x)=a^{kx} for some k<1k<1
A1 only
B2 only
C3 only
D4 only
E1 and 3 only
F1 and 4 only
G2 and 3 only
H2 and 4 only

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