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5. Rational Functions

5. Rational Functions / Introduction to Rational Functions / 문제 2

문제 2

Rewrite the equation of f in the form quotient + remainder/divisor using long division, and graph the function using the equation of this function and the transformation of 1/x.
f(x) = (3x +5)/(x +8)

A

f(x) = 3 +19/(x -8)

Graph of a rational function showing asymptotic behavior near x=8 and x=-8.

B

f(x) = 3 -19/(x -8)

Graph of a rational function with vertical asymptote at x=10 and horizontal asymptote at y=3.

C

f(x) = -3 -19/(x +8)

Graph of a rational function with vertical asymptote at x=-10 and horizontal asymptote at y=3.

D

f(x) = 3 -19/(x +8)

Graph of a rational function showing behavior near vertical asymptotes at x=-10 and x=10.