Graph the following piecewise function gx x2 for x lessthan

Graph the following piecewise function g(x) = {-x+2, for x lessthanorequalto -4 9. for -4

Solution

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From the given equation, it clear that the function is piecewise continuous with discontinuity at x=-4, 3.

However at x = -4 function will follow the first relation i.e. f(x) = -x + 2 and at x = 3 , f(x) will follow the last relation i.e. f(x) = 1/16 (x^3) .

It is visiblethat only Option 3 is satisfying the above conditions.

Hence solution is Option 3.