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Which of the following functions are eve...

Which of the following functions are even/odd, and which are neither even or odd?
`f(x)={(0, if "x is rational"),(1, if" x is irrational " ):}`

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Knowledge Check

  • Which of the following function is even function

    A
    `f(x)=(a^x+1)/(a^x-1)`
    B
    `f(x)=x((a^x-1)/(a^x+1))`
    C
    `f(x)=(a^x -a^(-x))/(a^x + a^(-x))`
    D
    f(x) = sin x

  • A function is defined as, f(x)={(0, where x is rational),(1, where x is irrational)}: . Then f(x) is

    A
    continuous for all `x in R`
    B
    continuous for all `x in R-{0}`
    C
    continuous for all `x in R-{0,1}`
    D
    discontinuous for all `x in R`

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