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. . Sketch a graph y = f(x) of a function defined everywhere on (-00,00) (except as indicated below) with the following properties: lim x- f(x)=-1 lim x-+-3-f(x) = 2 f(-3) = 2 limx-_-3 f(x) is undefined f(0) = 1 lim x1-f(x) = -00 lim x+1+ f(x) = 0 • f(4) is undefined . .
(a) Evaluate the following limits. i. lim [-2.2" - 32 - 8x] -- iii. lim - 6x7 – 4x² + 2 x² – 3x + 5 ii. lim [3.2) - 33 + 8x -5.25 7 iv. lim 2.2 - 3.0 I-7 (b) Which, if any, of the functions above(i, ii, iii, iv.) have horizontal asymptotes? Explain why (or justify) using limits.