Question

For the following graph of f(x); complete the table for f′(x) and f″(x).

Answer 1

x (-1,0) 0 (0,1.5) 1.5 (1.5, 2)

f(x) decreasing

f ‘(x) 0 negative 0

f ‘’(x) 0 0 positive

Concavity Concave up

Answer 2

hi :)

Answer 3

hi

Answer 4

x (-1,0) 0 (0,1.5) 1.5 (1.5, 2)

f(x) decreasing stationary decreasing stationary increasing

Answer 5

see if that makes sense for f(x)
we can work f'(x) after thatb

Answer 6

Refer to the Mathematica solution attachment for a solution for f(x) and various associated plots.