q28-h8. Do parts A & B & C Complete parts (a) through (c) for the following function.f(x) = − 3x³ + 6x² - 4x-5(a) Find intervals where the function is increasing or decreasing, and determine any relative extrema.(b) Find intervals where the function is concave upward or concave downward, and determine any inflection points.(c) Graph the function, considering the domain, critical points, symmetry, relative extrema, regions where the function isincreasing or decreasing, inflection points, regions where the function is concave upward or concave downward, interceptswhere possible, and asymptotes where applicable.(a) Find intervals where the function is increasing or decreasing. Select the correct choice below and, if necessary, fill inthe answer box(es) to complete your choice.A. The function is increasing on and decreasing nowhere.(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Use acomma to separate answers as needed. Type your answer in interval notation.)B. The function is increasing on and decreasing on(Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions. Usea comma to separate answers as needed. Type your answers in interval notation.)C. The function is decreasing on and increasing nowhere.(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Use acomma to separate answers as needed. Type your answer in interval notation.)D. The function does not increase or decrease on any interval.

Answered: Image /qna-images/answer/5f98d33b-024f-4239-9950-5dcfc84f2825.jpg

Complete parts (a) through (c) for the following function. f(x)=-3x³ +6x². - 4x-5 (a) Find intervals where the function is increasing or decreasing, and determine any relative extrema. (b) Find intervals where the function is concave upward or concave downward, and determine any inflection points. (c) Graph the function, considering the domain, critical points, symmetry, relative extrema, regions where the function is increasing or decreasing, inflection points, regions where the function is concave upward or concave downward, intercepts where possible, and asymptotes where applicable.