Question: Let f be the function defined as follows: f(x) = {3-x, for x <1 ax^2+bx, for 1x <2 5x-10, for x2 Find a relationship between

Letfbe the function defined as follows:

f(x) = {3-x, for x<1 ax^2+bx, for 1x<2 5x-10, for x2

  1. Find a relationship between a and b for whichfis continuous at x = 1.
  2. Find a relationship between a and b so thatfis continuous at x = 2.
  3. Use your equations from parts (ii) and (iii) to find the values of a and b so thatfis continuous at both x = 1 and also at x = 2?

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