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The relation f is defined by f(x)={{:(,x...

The relation f is defined by `f(x)={{:(,x^(2), 0 le x le 3),(,3x,3 le x le 10):}`
The relation g is defined by `g(x)={{:(,x^(2),0 le x le 2),(,3x,2 le x le 10):}`
Show that f is a function and g is not a function.

Answer

Step by step text solution for The relation f is defined by f(x)={{:(,x^(2), 0 le x le 3),(,3x,3 le x le 10):} The relation g is defined by g(x)={{:(,x^(2),0 le x le 2),(,3x,2 le x le 10):} Show that f is a function and g is not a function. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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The relation f is defined by f(x) ={(3x+2", "0le x le2),(x^(3)", "2 le x le 5):}. The relation g is defined by g(x) ={(3x+2", "0le x le1),(x^(3)", "1 le x le 5):} Show that f is a function and g is not a function

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Knowledge Check

  • If f(x)={(x,"when "0le x le 1),(2x-1,"when "x gt 1):} then -

    A
    f(x) is continuous but not differentiable at x=1
    B
    f(x) is discontinuous at x=1
    C
    f(x) is differentiable at x=1
    D
    none of these

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