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Suppose f(x) =[a+b x , x<1; 4, x=1;b-a x...

Suppose `f(x) =[a+b x , x<1; 4, x=1;b-a x , x >1`

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To find the values of \( a \) and \( b \) such that the function \( f(x) \) is continuous at \( x = 1 \), we need to ensure that the left-hand limit and the right-hand limit at \( x = 1 \) are equal to \( f(1) \). Given the function: \[ f(x) = \begin{cases} a + bx & \text{if } x < 1 \\ 4 & \text{if } x = 1 \\ ...
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