Sign Analysis of a Rational Function
The rational function r has zeros at x = -5 and x = 3 and vertical asymptotes at x = -2 and x = 4. Given that r(0) > 0, on which intervals is r(x) < 0?
A
(-5, -2) ∪ (3, 4)
B
(-∞, -5) ∪ (3, 4)
C
(-5, -2) ∪ (-2, 3) ∪ (4, ∞)
D
(-∞, -5) ∪ (-2, 3) ∪ (4, ∞)
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