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x 3x Let f(x) (x + 3) (a) Find the domain of and state it in interval form. (b) Find the x- ...
x² 3x Let f(x) (x + 3)² (a) Find the domain of ƒ and state it in interval form. (b) Find the x-intercept (y = 0) and y-intercept (x = 0) of ƒ. (c) Find the vertical and horizontal asymptotes of f. Justify your answers by showing the appropriate limits. (d) Find the intervals of increase and decrease of f. (e) Find the local maximum and minimum values of f, if any. (f) Find the intervals of concavity of f and the inflection points of f, if any. (g) Use the above information to sketch and label the graph of ƒ. Show your work for each part above. =