Funatic Maths

Written on
- Paper 1

Question 5

The graph of f(x)=3x\,f(x)=3^{-x}\, is sketched below. AA is the yy-intercept of ff. BB is the point of intersection of ff and the line y=9y=9.
Image
5.15.1 Write down the coordinates of AA. (1)(1)
5.25.2 Determine the coordinates of BB. (3)(3)
5.35.3 Write down the domain of f1f^{-1}. (2)(2)
5.45.4 Describe the translation from ff to h(x)=273xh(x)=\frac{\displaystyle 27}{\displaystyle 3^x}. (3)(3)
5.55.5 Determine the values of xx for which h(x)<1h(x)<1. (3)(3)
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