Given f(x)=x+x2−x3 , determine a. intervals where f(x) is increasing or decreasing, b. local minima and maxima of f(x) , c. intervals where f(x) is concave up and concave down, and b. d. the inflection points of f(x) .

Which is a logical conclusion based on the given information? a. figure abcd is a rhombus by the definition of a rhombus. b. segment ac is congruent to segment dc by cpctc. c. angle acb is congruent to angle adc by the angle-side-angle theorem. d. triangle acd is congruent to triangle cab by the hypotenuse-leg theorem.