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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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Knowledge Check

  • Let the function f be defined by f(x) = {{:(3x,0 le x le 1),(-3x + 5,1 lt x le 2):} , then

    A
    `lim_(x rarr 1) f(x) = 1`
    B
    `lim_(x rarr 1)f(x) = 3`
    C
    `lim_(x rarr 1)f(x) = 2`
    D
    `lim_(x rarr 1)f(x)` does not exist

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