1. i. I fCx) is continuous on 10, 8], defined asfor 0 Sx<2for 2 sx s 4 – InterviewSolution

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1. i. I fCx) is continuous on 10, 8], defined asfor 0 Sx<2for 2 sx s 4for 4 <xs 8f(x) =x2 + ax + 6,3x + 2,2ar + 5b,Find a and b.

Answer»

of f(x) is continuous , then

f(2) = (2)²+a(2)+6 = 3(2)+2=> 10+2a = 8=> a = -1

also, f(4) = 3(4)+2 = 2*(-1)*(4) +5b=> 14 = 5b-8=> b = 22/5

f

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