Consider the function f(x)=x−1x 1 . (a) Find the domain of f(x) . Note: Use the letter U for union. To enter ∞ , type infinity. Domain: (-infinity,-1) U (-1,infinity) Preview (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: (y=1) Preview vertical asymptote: (x=-1) Preview (c) Give the intervals of increase and decrease of f(x) . Note: Use the letter U for union. To enter ∞ , type infinity. If the function is never increasing or decreasing, enter NA in the associated response area. increasing: (-infinity,-1) U(-1,infinity) Preview decreasing: NA Preview (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( NA Preview )= NA Preview f( NA Preview )= NA Preview (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: Preview concave downward: Preview (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 . ( NA Preview , NA Preview ) ( NA Preview , NA Preview ) (g) Select the graph of f(x) . Maple plot Maple plot