Suppose that
(A) List all critical numbers of f.
Critical numbers =

(B) Use interval notation to indicate where f(x) is increasing.
Increasing:

(C)List the x-coordinates of all local maxima of f.
x values of local maxima =

(D) List the x-coordinates of all local minima of f.

x values of local minima =

(E) Use interval notation to indicate where f(x) is concave Down.
Concave Down:

(F) List the x values of all inflection points of f.
x values of inflection points =

A) None

B) (-0.25, ∞)

C) None

D) None

E) (-0.25, ∞)

F) None

The work

6.

Suppose that
(A) List all critical numbers of f.
Critical numbers =

(B) Use interval notation to indicate where f(x) is increasing.
Increasing:

(C) Use interval notation to indicate where f(x) is decreasing.
Decreasing:

(D)List the x-coordinates of all local maxima of f.
Local maxima at x=

(E) List the x-coordinates of all local minima of f.

Local minima at x=

(F) Use interval notation to indicate where f(x) is concave up.
Concave up:

(G) Use interval notation to indicate where f(x) is concave down.
Concave down:

(H) List the x values of all inflection points of f.
x Inflection point(s) at x =

A) None

B) (-∞, ∞)

C) Does not decrease

D) NONE

E) NONE

F) (0,∞)

G) (∞, 0)

H) 0

The work

7.

Suppose that
(A) List all critical numbers of f.
Critical numbers =

(B) Use interval notation to indicate where f(x) is increasing.
Increasing:

(C) Use interval notation to indicate where f(x) is decreasing.
Decreasing:

(D)List the x-coordinates of all local maxima of f.
Local maxima at x=

(E) List the x-coordinates of all local minima of f.

Local minima at x=

(F) Use interval notation to indicate where f(x) is concave up.
Concave up:

(G) Use interval notation to indicate where f(x) is concave down.
Concave down:

(H) List the x values of all inflection points of f.
x Inflection point(s) at x =

A) 0, -3, -1

B) (-∞, -3) U (-1, ∞)

C) (-3, -1)

D) -3

E) -1

F) (-∞, -3) U (-3, 0)

G) (0, ∞)

H) 0

The work

8.

Suppose that
(A) List all critical numbers of f.
Critical numbers =

(B) Use interval notation to indicate where f(x) is decreasing.
Decreasing:

(C)List the x-coordinates of all local maxima of f.
x values of local maxima =

(D) List the x-coordinates of all local minima of f.

x values of local minima =

(E) List the x values of all inflection points of f.
x Inflection point(s) at x =
(F) Use interval notation to indicate where f(x) is concave up.
Concave up:

(G) Use interval notation to indicate where f(x) is concave down.
Concave down:

(H) List all horizontal asymptotes of f.
Horizontal asymptotes y =

(I) List all vertical asymptotes of f.

vertical asymptotes x =

A) None

B) (-∞, -3) U (-3, 3) U (3, ∞)

C) None

D) None

E) 0

F) (-3, 0) U (3, ∞)

G) (-∞, -3) U (0, 3)

H) 0

I) -3, 3

The work

9.

Suppose that
(A) Find all critical numbers of f.
Critical numbers =

(B) Use interval notation to indicate where f(x) is increasing.
Increasing:

(C)List the x-coordinates of all local maxima of f.
x values of local maxima =

(D) List the x-coordinates of all local minima of f.

x values of local minima =

(E) Use interval notation to indicate where f(x) is concave up.
Concave up:

(F) Use interval notation to indicate where f(x) is concave down.
Concave down:

(G) List the x values of all inflection points of f.
x values of inflection points at =

(H) List all horizontal asymptotes of f.
Horizontal asymptotes y =

(I) List all vertical asymptotes of f.

vertical asymptotes x =

A) None

B) (-∞, -7) U (-7, ∞)

C) None

D) None

E) (-∞, -7)

F) (-7, ∞)

G) None

H) 3

I) -7

The work

10.

Suppose that
(A) Find all critical numbers of f.
Critical numbers =

(B) Use interval notation to indicate where f(x) is increasing.
Increasing:

(C) Use interval notation to indicate where f(x) is decreasing.
Decreasing:

(D)List the x-coordinates of all local maxima of f.
x values of local maxima =

(E) List the x-coordinates of all local minima of f.

x values of local minima =

(F) Use interval notation to indicate where f(x) is concave up.
Concave up:

(G) Use interval notation to indicate where f(x) is concave down.
Concave down:

(H) List the x values of all inflection points of f.
x values of inflection points at =

(I) List all horizontal asymptotes of f.
Horizontal asymptotes y =