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2. (3 points) Suppose that a rational function f(x) has the properties that as x -> too, f (x) -> -2, as x-3, f(x) ->
2. (3 points) Suppose that a rational function f(x) has the properties that as x -> too, f (x) -> -2, as x-3, f(x) -> co, and as x -> 3* , f(x) -> -co. Circle each statement below which is a true statement. (A) y=-2 is a horizontal asymptote of f (B) y = 3 is a horizontal asymptote of f (C) x=-2 is a vertical asymptote of f (D) x=3 is a vertical asymptote of f (E) f has an x-intercept at x = 3 (F) f has an oblique asymptote (G) f has a removable discontinuity at x = 3 (H) f has a removable discontinuity at x =-2 3. (3 points) Suppose that a rational function g(x) has the properties that as x -> too , g(x) - -00 , g (4) =0, as x-> 2 , 8(x) -> 3 , and as x-> 2*, g(x) -3. Circle each statement below which is a true statement. (A) y = 2 is a horizontal asymptote of g (B) y = 3 is a horizontal asymptote of g (C) x=2 is a vertical asymptote of g (D) x=3 is a vertical asymptote of g (E) g has an x-intercept at x = 4 (F) g has an oblique asymptote (G) g has a removable discontinuity at x = 3 (H) g has a removable discontinuity at x = 2
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