Given is the graph of f(x) which has the domain of (0, ∞).y8t6HX =246G(a) Find the interval(s) where f"(x) > 0. (Enter your answer using interval notation.)8(b) I the interval(s) where f(x) is concave down. (Enter your answer using interval notation.)(c) Find the x-value(s) of any inflection points of f(x). (Enter your answers as a comma-separated list.)X =(d) Find the partition numbers of f'(x). (Enter your answers as a comma-separated list.)(e) Find the interval(s) where f'(x) > 0. (Enter your answer using interval notation.)(f) Find the interval(s) where f'(x) < 0. (Enter your answer using interval notation.)(g) Find the x-value(s) of any local maxima of f(x). (Enter your answers as a comma-separated list. If there are none, enterNONE.)(h) Find the x-value(s) of any local minima of f(x). (Enter your answers as a comma-separated list. If there are none, enterNONE.)

Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Given is the graph of f(x) which has the domain of (0, ∞). y 8 + X = 2 N 8 (a) Find the interval(s) where f"(x) > 0. (Enter your answer using interval notation.) (b) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) (c) Find the x-value(s) of any inflection points of f(x). (Enter your answers as a comma-separated list.)