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Unattributed TMUA Mock Set B Paper 1 · Q20

Paper 1Functions & graphs

The graph of y=f(x)y=f(x) intersects the xx-axis at exactly two distinct points. Consider the graphs of the following:

  • I. y=f(x)+2y=f(x)+2
  • II. y=f(x+2)y=f(x+2)
  • III. y=2f(x)y=2f(x)
  • IV. y=2−f(x)y=2-f(x)
  • V. y=f(−2x)y=f(-2x)

How many of these graphs necessarily intersect the xx-axis at exactly two distinct points?

A00
B11
C22
D33
E44
F55

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