Calculus 101 Questions

1.

Find the equation of all horizontal asymptotes and all vertical asymptotes to the given functions. [4 marks each] x3 - 5x2 + 4x cos(1/x) 10 - 5x a. f (x) = b. g(x) = C. h(x) = 2x3 + 2x2 - 24x 3x |x1 - 2Let f(x) be defined as follows 5X+5-x m 9'51 f(x)= x1 xx2 x>1 a. Is this function continuous at x = 1? [3 marks] b. Find the horizontal asymptotes of this function. [2 marks]