Question 11

400

fis increasing on [0,) and decreasing

on (0]. fis concave up on (-.-).

fhas no inflection points.

Graph the function and locate intervals on which the function is increasing or decreasing, open intervals on

which the function is concave up or concave down, and all inflection points.

-1044

and

1+

atx=₁

f is increasing on (-*, 0] and decreasing

on [0, ~). f is concave up on-09-

1 points

4 6 8 10

and concave down on

and x--

f has inflection points

F

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-10 8 6 4 2 2 4 6 8 10 %

f is increasing on (-∞, 0] and decreasing

on [0,*). f is concave up on-09-

and

4

√√3√3

and concave down on

f has inflection points

at x and x=-

O

f is increasing on [0, ") and decreasing

on (-*, 0]. f is concave up on

++

xz.

and concave down on-09-

4

√√√3

10 (-09-²

f has inflection points at

and x =

√3

and