FNGR 1|Lesson 1| Solution 1

Solutions

  1. Linear, \(f(0) = 0\), \(f(1) =3\), \(f(2) = 6\); 3 was added each time.
  2. Exponential, \(f(0) = 1\) and \(f(1) = \Large\frac{2}{3}\), \(f(2) = \Large\frac{4}{9}\); muliplied by \(\Large\frac{2}{3}\) each time.
  3. Exponential, \(f(0) = 1\),  \(f(1) = -4\) \(f(2) = -16\); multiplied by 4 each time.   It is the mirror image of \(f(x) = 4^x\) with respect to the \(x\)-axis.
  4. Exponential,\( f(0) =7\), \(f(1) = 14\), \(f(2) =28\); multiplied by 2
  5. Linear, \(f(0) = 0\), \(f(1) = 3.5\), \(f(2) = 7\); added 3.5 each time.

 

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