questions #1, #3 #7 and 10

9r - 73 1. Let /(x) = 1'+1-6 a) Determine all vertical asymptotes of f. b) Where is / continuous? Write your answer using interval notation. c) For each value of a that / is discontinuous, redefine /, if possible, to guarantee that / will be continuous there. 3. Sketch the graph of a function / that satisfies the given properties. Do not find a formula for f. .f (1) =0 . lim /(x) does not exist .f(2) = 1 . lim / (x) = 0 I +2' .f(3) = -2 . lim /(x) = -1 and lim /(x) = -2 7. Consider the function / below, where a and b are constants. be + a+ 1 ((x) = ar' +b(x+3) 0