2. [0.66/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.3.005. MY NOTES ASK YOUR TEACHER The graph of the derivative f' of a function f is shown. y = f'(x) (a) On what intervals is f increasing? (Enter your answer using interval notation.) (0,1), (3,5) On what intervals is f decreasing? (Enter your answer using interval notation.) (1,3), (5,6) (b) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.) X = (2,6), (4,5) Enhanced Feedback " "- - - - - - - -. Please try again. You can use the graph of f'(x) to determine where f'(x) is positive or negative. When f'(x) is positive, the function f(x) is increasing, and when f'(x) is negative, the function f(x) is decreasing. A local maximum or minimum occurs where the derivative f'(x) changes its sign. Need Help? Read It Watch It6. [0.86/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.3.025. MY NOTES ASK YOUR TEACHER Consider the equation below. (If an answer does not exist, enter DNE.) (x) = x2 - x - In(x) (a) Find the interval(s) on which fis increasing. (Enter your answer using interval notation.) (1,00) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (0,1 ) (b) Find the local minimum and maximum value of f. local minimum value 1,0 X local maximum value DNE (c) Find the inflection point. (x, y ) = DNE Find the interval(s) on which f is concave up. (Enter your answer using interval notation.) (0,00) Find the interval(s) on which fis concave down. (Enter your answer using interval notation.) DNE Need Help? Read It12. [0.8/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.3.059. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following function. (If an answer does not exist, enter DNE.) f ( x ) = 1 + * - 2 (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) x = 0 Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.) y = 1 (b) Find the interval(s) of increase. (Enter your answer using interval notation.) Find the interval(s) of decrease. (Enter your answer using interval notation.) (-00, 0), ( 7:00) (c) Find the local maximum and minimum values. local maximum value local minimum value DNE (d) Find the interval(s) on which fis concave up. (Enter your answer using interval notation.) (#.00) Find the interval(s) on which f is concave down. (Enter your answer using interval notation.) (-00,0), (0, ;) Find the inflection point. ( x, y ) = 3, 11 (e) Use the information from parts (a)-(d) to sketch the graph of f. HOT -15 -10 -5 10 15 15-----10-----5----- ------5-----10----45 15-----10-----5------ ----3-----10----45 - 15 -10 10 15