Need Help Completing. I've filled in the ones I've solved while considering the function.

Question

Consider the function f(x)=x+12x23.

 

(a) Find the domain of f(x).

 

Note: Use the letter U for union. To enter ∞, type infinity with a lower case i.

 Domain:

 (-infinity, infinity)

 __________

 

(b) Give the horizontal and vertical asymptotes of f(x), if any.

 

Enter the equations for the asymptotes. If there is no horizontal or vertical asymptote, enter NA in the associated response area.

 horizontal asymptote:

 NA

 __________

vertical asymptote:

 NA

 __________

 

(c) Give the intervals of increase and decrease of f(x).

 

Note: Use the letter U for union. To enter ∞, type infinity with a lower case i.

If the function is never increasing or decreasing, enter NA in the associated response area.

 increasing:

 

 __________

decreasing:

 (-512, 0)

 ________

 

(d) Give the local maximum and minimum values of f(x).

 

Enter your answers in increasing order of the x-value. If there are less than two local extrema, enter NA in the remaining response areas and the corresponding drop-down menu.

 

Include a multiplication sign between symbols. For example, a⋅π.

 

f(-512	__________	)= 256	local Maximum _________	__________
f(	__________	)=	__________	__________

 

(e) Give the intervals of concavity of f(x).

 

Note: Use the letter U for union. To enter ∞, type infinity with a lower case i.

If the function is never concave upward or concave downward, enter NA in the associated response area.

 concave upward:

 NA

 _________

concave downward:

 

 __________

 

(f) Give the inflection points of f(x).

 

Enter your answers in increasing order of the x-coordinate. If there are less than two points of inflection, enter NA in the remaining response areas.

 

Include a multiplication sign between symbols. For example, a⋅π.

 

(	__________	,	__________	)
(	__________	,	__________	)

Answer 1

Joaquin

Your function is very unclear. If you write it using clear math notation I can help you later.

Mike