Answer: Rational functions are defined as the ratio of two polynomials. A rational function has the most solutions in common with the function y = 2x + 6 if their graphs intersect at the most points.
If a rational function has the same degree as the polynomial function y = 2x + 6, which is degree 1, and has a leading coefficient that is the same sign as the leading coefficient of y = 2x + 6, then their graphs will intersect at the most points.
One such rational function that has the same degree as y = 2x + 6 and has a leading coefficient that is the same sign is:
y = (2x + 6) / 1
So the rational function y = (2x + 6) / 1 has the most solutions in common with the function y = 2x + 6.
Explanation: