Consider the function below. F(x)=3+2x 2+-x Find the interval of increase. (Ente
ID: 3191880 • Letter: C
Question
Consider the function below. F(x)=3+2x 2+-x Find the interval of increase. (Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) Find the local minimum values(s). (Enter your answer as a comma-separated list. If an answer does not exist, enter DNE.) Find the local maximum value(s). (Enter your answer as a comma-separated list. If an answer not exist, enter DNE.) Find the inflection points. (x,y)= (smaller x-value) (x,y)= (large x-value) Find the interval where the graph is concave upward. (Enter your answer using interval notation.) Find the interval where the graph is concave downward. (Enter your answer using interval notation.)Explanation / Answer
f '(x) = 4x - 4x^3
Interval of Increase: (-, -1) U (0,1)
Inteval of Decrease: (-1,1)
Local Min: x = 0
Local Max: x = -1 and x = 1
Inflection Point: (-1/(3), 32/9) and (1/(3), 32/9)
Concave Up: ( -, -1/(3) ) U ( 1/(3), )
Concave Down: ( -1/(3), 1/(3) )