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Consider the function and its derivatives: f(x) = ex x² Curve Sketching 3 Check f'(x) = (x - 2). ex x3 f" (x) = (x² - 4x+6) · ex X4 a) What is the domain of f in interval notation? oo(-inf, inf) (-?, ?) b) Find the set of all critical points of f. {0} {0} c) Find the intervals of increase and decrease for f. f is increasing on: f is decreasing on: d) Find the intervals of concavity for f. f is concave up on: f is concave down on: e) Find the set of all x-values of the inflection points of f.

Consider the function and its derivatives: $f(x)=x_{2}e_{x}?,f_{?}(x)=x_{3}(x?2)?e_{x}?f_{??}(x)=x_{4}(x_{2}?4?x+6)?e_{x}?$ a) What is the domain of $f$ in interval notation? b) Find the set of all critical points of $f$. ${0}$ c) Find the intervals of increase and decrease for $f$. $f$ is increasing on: $f$ is decreasing on: d) Find the intervals of concavity for $f$. $f$ is concave up on: $f$ is concave down on: e) Find the set of all $x$-values of the inflection points of $f$.

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