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If the function f(x) given by f(x)={(3a ...

If the function `f(x)` given by `f(x)={(3a x+b,"if "x >1), (11,"if "x=1), (5a x-2b ,"if "x<1):}` is continuous at `x=1` then find the values of `a and b.`

Text Solution

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The correct Answer is:
`a= 3, b=2`
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Knowledge Check

  • The function f(x) = |x| + |x-1| is

    A
    continuous at x =0 as well as at x =1
    B
    continuous at x =1 but not at x =0
    C
    discontinuous at x = 0 as well as x =1
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    not differentiable at x = 0
    B
    strictly increasing
    C
    strictly decreasing
    D
    neither increasing nor decreasing.

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