SOLUTION: Hi I have been stuck for a while. I need the formula of a rational function that satisfies the characteristics of a vertical asymptote of 1, a horizontal asymptote of 2, an x inter

Algebra ->  Rational-functions -> SOLUTION: Hi I have been stuck for a while. I need the formula of a rational function that satisfies the characteristics of a vertical asymptote of 1, a horizontal asymptote of 2, an x inter      Log On


   

Question 808180: Hi I have been stuck for a while. I need the formula of a rational function that satisfies the characteristics of a vertical asymptote of 1, a horizontal asymptote of 2, an x intercept of 3, and a y intercept of 6. Thank you! Alec1211@charter.net
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Since f has a vertical is at x+=+1, then the denominator of the rational function contains the term %28x+-+1%29. Function f has the form.
f%28x%29+=+g%28x%29+%2F+%28x+-+1%29
g%28x%29 which is in the numerator must be of the same degree as the denominator since f has a horizontal asymptote. Also g%28x%29 must contain the term %28x+-3%29 since f has a zero at x+=+3. Hence
f%28x%29+=2+%28x+-3%29+%2F+%28x+-+1%29