Question: Calculus Writing Assignment: Asymptotes and End-Behavior Each problem is worth 5 points. Total Points: 50 Answer each of the problems. Make sure to show all

Calculus Writing Assignment: Asymptotes and End-Behavior Each problem is worth 5 points. Total Points: 50 Answer each of the problems. Make sure to show all your work. 1) If lim (fx ) , what asymptotic behavior will be illustrated in the graph of f (x)? x 6 2) If lim (gx ) 3 , what asymptotic behavior will be illustrated in the graph of g(x)? x 3) If lim dt ( ) 5 , can there be a vertical asymptote in the graph of d(t) at t = 0? t 0 4) Find the vertical asymptote(s) in the graph of fx() 49 x2 x 5 5) Find the end-behavior asymptote(s) in the graph of fx() . 49 x2 x 5 . 6) Find the vertical asymptote(s) in the graph of gx() 415 x x2 . x 2 121 7) Find the end-behavior asymptote(s) in the graph of gx() 8) Find the vertical asymptote(s) in the graph of hx() 415 x x2 . x 2 121 x2 5 . x 3 9) Find the end-behavior asymptote(s) in the graph of hx () x2 5 . x 3 10) Find the polynomial end-behavior asymptote in the graph of fx() 26 xx3 1 . x2

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