Help Precalculus

Question

Write a rational function f that has the specified characteristics. Each to be answered separately.

Vertical Asymptote: x=2

Horizontal Asymptote y=1/2

Zero: x=1

Answer 1

vertical asymptote x=2 means that (x-2) must be in the denominator

zero at x=1 means that (x-1) must be in the numerator

Finally, for the long term behavior to be 1/2, 1/2 must appear in the numerator...

putting it all together

y = 1/2(x-1)/(x-2)