Question

So anyway, the derivative of abs(x+2) is (x+2)/(abs(x+2))... I know how to do the work.. Question is when they ask is is strictly monotonic on [-2, \inf) ____[----). Its a straight line, so would it be?

Answer 1

Not all straight lines are strictly monotonic (though this may vary depending on your definition of "monotonic"). For example, the line \(y=0\) would not be considered strictly monotonic (strictly speaking) because strict monotonicity requires that, for \(x_1<x_2\), you have \(y(x_1)>y(x_2)\) or \(y(x_1)<y(x_2)\) for strictly increasing and decreasing functions, respectively.