hey can you help me with the 2 missing parts, I keep trying to solve it using a graph but it's saying my answer is wrong.

(a) Find the critical numbers of the function f(x) = x8(x - 2). X = 0 (smallest value) X = X X = 2 (largest value) (b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? At X = 16/15 , the function has a local minimum (c) What does the First Derivative Test tell you? (Enter your answers from smallest to largest x value.) At X = 0 , the function has a local maximum At X = X , the function has a local minimum V At X = 2 , the function has neither a minimum nor a maximum vConsider the following function. (If an answer does not exist, enter DNE.) f(x) = |n(5 |n(x)) (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) 1/ Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.) J (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Ex Find the interval where the function is decreasing. (Enter your answer using interval notation.) -, (c) Find the local maximum and minimum values. local maximum value dne J local minimum value due