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Graphs of Rational Functions
Worksheet
Grade Level
Pre-Calculus
Pre-CAL.39 Graphs of Rational Functions
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Which graph description is consistent with all discontinuities and end behavior of f(x) = (2(x + 6)(x + 2))/(5(x - 1)(x - 7))?
A
Vertical asymptote(s): x = 2 and x = 7; horizontal asymptote y = 2/5; hole(s): none; end behavior approaches y = 2/5 as x -> +/-infinity
B
Vertical asymptote(s): x = 1 and x = 7; horizontal asymptote y = 7/5; hole(s): none; end behavior approaches y = 7/5 as x -> +/-infinity
C
Vertical asymptote(s): x = 1 and x = 7; horizontal asymptote y = 2/5; hole(s): (2, 0); end behavior approaches y = 2/5 as x -> +/-infinity
D
Vertical asymptote(s): x = 1 and x = 7; horizontal asymptote y = 2/5; hole(s): none; end behavior approaches y = 2/5 as x -> +/-infinity
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