List all critical numbers of f.

Question

Suppose that 

f(x)- (3x)/(x²-49)

 

A)List all critical numbers of f.

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

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

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

E) List the x values of all inflection points of f. 

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

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

H) List all horizontal asymptotes of f.

I) List all vertical asymptotes of f. 

Answer 1

f(x)- (3x)/(x2-49)

A)List all critical numbers of f. = -7, 0, 7
B) Use interval notation to indicate where f(x) is decreasing [0,6] [inf, 8]

C) List the x-values of all local maxima of f. none
D) List the x-values of all local minima of f. none
E) List the x values of all inflection points of f. 0
F) Use interval notation to indicate where f(x) is concave up. [0,6] [-inf, 8]
G) Use interval notation to indicate where f(x) is concave down. [-6,0] [8, inf]
H) List all horizontal asymptotes of f. x=0
I) List all vertical asymptotes of f. none