a) State a rational equation with 2 vertical asymptotes and

iricky827b

iricky827b

Answered question

2021-12-03

a) State a rational equation with 2 vertical asymptotes and an oblique asymptote.
b) State a rational equation with a quadratic numerator, a quadratic denominators, a vertical asymptote x=2 and a horizontal asymptote at y=3

Answer & Explanation

Phisecome

Phisecome

Beginner2021-12-04Added 18 answers

Step 1 
a) The value of the denominator must be zero because the vertical asymptote is 2, so x=2
The degree of the numerator must be greater than the degree of the denominator because the equation must have an oblique asymptote.
Therefore the rational equation is, 
y=x2+4x2 
Step 2 
b) Since the vertical asymptote is x=2, therefore the value of denominator must be zero when x=2
Since the horizontal asymptote is y=3, therefore the ratio of leading coefficients of numerator and denominator must be 3 
Therefore the rational equation is, 
y=3x2+18x+27x2+4x+4

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