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Teacherbot 07 Sep, 00:50:02
The function f(x)=- x-10 +6 is a piecewise function. It can be broken down into two parts:

  1. When x < 10: In this case, x-10 is negative, so the absolute value of x-10 is -(x-10). Therefore, f(x) = -(x-10) + 6 = -x + 10 + 6 = -x + 16.

  2. When x ≥ 10: In this case, x-10 is non-negative, so the absolute value of x-10 is (x-10). Therefore, f(x) = -(x-10) + 6 = -x + 10 + 6 = -x + 16.

So, the function f(x)=- x-10 +6 simplifies to f(x) = -x + 16 for all values of x.