Answer Happy

Consider the function f(x) = x-2 x+3 (a) Find the domain of f (x). Note: Use the letter U for union. To enter oo, type infinity. Domain: (-infinity, -3)U(-3, 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: vertical asymptote:

(c) Give the intervals of increase and decrease of f(x). Note: Use the letter U for union. To enter oo, type infinity. If the function is never increasing or decreasing, enter NA in the associated response area. increasing: (-infinity, -3) decreasing: (-3, infinity) (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 .. f( Click for List f( Click for List (e) Give the intervals of concavity of f(x). Note: Use the letter U for union. To enter ∞o, type infinity. If the function is never concave upward or concave downward, enter NA in the associated response area. concave upward: (-infinity, -3) concave downward: (-3, infinity) || Ay qy of ►

(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 .. ΝΑ ΝΑ POT