How do you write g(x) = -2|x+1| as a piecewise function?
1 Answer
Mar 13, 2016
g(x) = { (-2(x+1), x >= -1), (2(x+1), x < -1) :}
Explanation:
abs(t) = { (t, t >= 0), (-t, t < 0) :}
Hence:
abs(x+1) = { ((x+1), x >= -1), (-(x+1), x < -1) :}
Multiply by
g(x) = { (-2(x+1), x >= -1), (2(x+1), x < -1) :}
