Function Notation
Radical function: [tex]f(x)=\sqrt{x}[/tex]
Rational function: [tex]f(x)=\frac{1}{x}[/tex]
Domain
Radical function: [tex][0,\infty)[/tex]
Rational function: [tex](-\infty,0) \cup (0, +\infty )[/tex]
Range
Radical function: [tex][0,\infty )[/tex]
Rational function: [tex](-\infty,0) \cup (0,+\infty )[/tex]
Symmetry
Radical function: Neither even nor odd
Rational function: Neither even nor odd
Vertical asymptote
Radical function: No vertical asymptote
Rational function: [tex]x=0[/tex]
Horizontal asymptote
Radical function: No horizontal asymptote
Rational function: [tex]y=0[/tex]
End behavior
Radical function: As [tex]x\rightarrow \infty,y \rightarrow \infty[/tex]
Rational function: As [tex]x\rightarrow \infty,y \rightarrow 0[/tex]
