Answers to Tutorial on Rational Functions (1)

Answers to the matched exercies in Tutorial on Rational Functions (1) are presented.

Matched Exercise 1: Find the equation of the rational function f of the form

f(x) = -1 / (bx + c)

whose graph has a y intercept at (0 , -1/4) and has a vertical asymptote at x = -1.

Answer to Matched Exercise 1:
c = 4

b = 4


Matched Exercise 2: Find the equation of the rational function f of the form

f(x) = (ax - 2 ) / (bx + c)

whose graph has ax x intercept at (1 , 0), a vertical asymptote at x = -1 and a horizontal asymptote at y = 2.

Answer to Matched Exercise 2:
a = 2

b = 1

c = 1

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