Over what intervals is $f (x) = ln (x^{2} - x^{3})$ $f(x)=ln(x^2-x^3)$ increasing and decreasing?

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Answer 1 · 2018-04-30T15:00:33

Look below

graph{ln(x^2+x^3) [-10, 10, -5, 5]}

from $0 \to \infty$ $0 to oo$ , the graph is decreasing

there is a vertical asymptote at $x = 0$ $x=0$

$- 0.667 \to - \infty$ $-0.667 to -oo$ decreases, while the opposite way is the same.

Over what intervals is f(x)=ln(x^2-x^3) f(x)=ln(x2−x3) f(x)=ln(x^2-x^3) increasing and decreasing?