If the polynomial is "up" on both ends, is the leading coefficient positive or negative?
Use this information to invent any polynomial you like that fits the requirements: three linear factors, one of which is repeated; and a positive leading coefficient.
If the horizontal asymptote is at y = 1, then how must the degrees of the numerator and denominator compare, and how much their leading coefficients compare?
If y = x for x = 4, what must be a factor of the numerator?
If y = 2 when x = 0, then what must be the constant term of the numerator?
Use this to create a rational function which fits the requirements.