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Show that the function f defined by f(x)...

Show that the function f defined by `f(x)=|1-x+x|,` where x is any real number, is a continuous function.

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To show that the function \( f(x) = |1 - x + |x|| \) is continuous, we will follow these steps: ### Step 1: Rewrite the function We start with the function: \[ f(x) = |1 - x + |x|| \] We can denote \( h(x) = 1 - x + |x| \) and \( g(x) = |x| \). ...
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Knowledge Check

  • If f be a function defined as f(x) = p for each x in R , where p is a real number, then f is called

    A
    Constant function
    B
    Identity function
    C
    Modulus function
    D
    Signum function

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