Consider the function f(x)= x-1/x+3.

(a). Find the domain of f(x)

Domain-

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

Enter the equations for the asymptotes of f(x). If there is no horizontal or vertical asymptotes enter N/A

horizontal asymptote:

vertical asymptote:

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

Use the letter U for union. If the function is never increasing or decreasing enter N/A in the associated area

increasing:

decreasing:

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

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

f( )=

f( )=

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

Note: Use the letter U for union. To enter, type infinity.

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

concave upward:

concave downward:

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

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

( , )

( , )