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Question		Answer
F(x)= Definition of a rational function. start learning		P(x)/Q(x), where x∈ R -{x: Q(x)=0}
P(x)/Q(x)=0 ⇔ start learning		P(x) =0 ∧ Q(x)≠0
P(x)/Q(x)>0 ⇔ start learning		P(x)*Q(x)>0
P(x)/Q(x)≥0 ⇔ start learning		P(x)*Q(x)≥0 ∧ Q(x)≠0
P(x)/Q(x)≤0 ⇔ start learning		P(x)/Q(x)≤0 ∧ Q(x)≠0
f(x)= The general form of a homographic function. Conditions. start learning		(ax +b)/(cx +d), where x∈ R- {-d/c} ! c≠0; ad -bc ≠ 0
f(x)= The canonical form of a homographic function. start learning		s/(x-p) +q, where x≠p s≠0

Rational function