Applications of differentiation: Analysis of functions
Monotonicity
Below you see the graph of the function
\[f(x)= \lineqs{ x^3&x\leq0 \\ 0&0\leq x\leq1 \\ (x-1)^3&x\geq1 } \]
This function is monotonic on the whole domain #\mathbb{R}#. Which term describes the monotonic behavior of #f# on #\mathbb{R}# as specifically as possible?
\[f(x)= \lineqs{ x^3&x\leq0 \\ 0&0\leq x\leq1 \\ (x-1)^3&x\geq1 } \]
This function is monotonic on the whole domain #\mathbb{R}#. Which term describes the monotonic behavior of #f# on #\mathbb{R}# as specifically as possible?
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