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Find the values of a and b, so that the function f given by $ f(x) = \left\{ \begin{array}{l l} 1, & \quad if { x \leq 3}\\ ax+b, & \quad if { 3<x<5} \\ 7, & \quad if {x \geq 5} \end{array} \right. $ is continuous at x = 3 and x = 5.
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