Rational functions and asymptotes
12th grade (Year 13 in England) · 16 questions · Common Core: HSF.IF.C.7.D, HSA.APR.D.6
Name
Date
Score/ 16
Question 1
Find the vertical asymptote of f(x) = (x + 3)/(x + 4). Give the x-value.
Answer
Question 2
Find the vertical asymptote of f(x) = (5x + 2)/(3x + 12). Give the x-value.
Answer
Question 3
Find the horizontal asymptote of f(x) = (x + 3)/(3x + 3). Give the y-value (fractions allowed).
Answer(as a fraction)
Question 4
Find the horizontal asymptote of f(x) = (3x + 5)/(x + 1). Give the y-value (fractions allowed).
Answer(as a fraction)
Question 5
Find the horizontal asymptote of f(x) = (x − 3)/(2x + 2). Give the y-value (fractions allowed).
Answer(as a fraction)
Question 6
Find the vertical asymptote of f(x) = (4x + 2)/(3x − 12). Give the x-value.
Answer
Question 7
Find the horizontal asymptote of f(x) = (2x + 4)/(2x − 10). Give the y-value (fractions allowed).
Answer(as a fraction)
Question 8
Find the horizontal asymptote of f(x) = (5x + 3)/(3x + 6). Give the y-value (fractions allowed).
Answer(as a fraction)
Question 9
Find the vertical asymptote of f(x) = (2x + 2)/(x − 4). Give the x-value.
Answer
Question 10
Find the vertical asymptote of f(x) = (2x + 1)/(x − 2). Give the x-value.
Answer
Question 11
Find the vertical asymptote of f(x) = (5x + 4)/(2x − 6). Give the x-value.
Answer
Question 12
Find the vertical asymptote of f(x) = (x − 1)/(2x + 6). Give the x-value.
Answer
Question 13
Find the horizontal asymptote of f(x) = (5x)/(2x − 12). Give the y-value (fractions allowed).
Answer(as a fraction)
Question 14
Find the vertical asymptote of f(x) = (6x + 3)/(x − 6). Give the x-value.
Answer
Question 15
Find the horizontal asymptote of f(x) = (2x − 2)/(3x + 12). Give the y-value (fractions allowed).
Answer(as a fraction)
Question 16
Find the horizontal asymptote of f(x) = (3x + 1)/(3x − 15). Give the y-value (fractions allowed).
Answer(as a fraction)
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