Miscellaneous functions: Parabola: f_{1}(x)=x^{2} Rational: f_{2}(x)=x/(x+1) Conditional: f_{3}(x)= x^{2} if x< 1, else x2 Exponential: f_{4}(x)=e^{x} Trigonometric: f_{5}(x)=sin(x) 
Comparison: f_{1}(x)=e^{x2} f_{2}(x)=1/(1+x^{2}) 

Comparison: f_{1}(x)=(e^{x}+e^{x})/2 f_{2}(x)=x^{2}+1 