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A modulus function is everywhere continu...

A modulus function is everywhere continuous.

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A constant and identity function is everywhere continuous.

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Knowledge Check

  • If the function and the derivative of the function f(x) is everywhere continuous and is given by f(x)={:{(bx^(2)+ax+4", for " x ge -1),(ax^(2)+b", for " x lt -1):} , then

    A
    `a=3, b=2`
    B
    `a=2, b=3`
    C
    `a=-2, b=-3`
    D
    `a=-3, b=-2`

  • Assuming that f is everywhere continuous, (1)/(c )int_(ac)^(bc)f((x)/(c ))dx is equal to

    A
    `(1)/(c )overset(b)underset(a)intf(x)dx`
    B
    `overset(b)underset(a)intf(x)dx`
    C
    `coverset(b)underset(a)intf(x)dx`
    D
    `coverset(bc^(2))underset(ac^(2))intf(x)dx`

    • Similar Questions

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    The function f(x)=x-[x], where | denotes the greatest integer function is (a) continuous everywhere (b) continuous at integer points only ( continuous at non- integer points only (d) differentiable everywhere

    Show that the function f defined by f(x)=|1-x+|x|| is everywhere continuous.

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