MHF 4U1 Graphing Rational Functions I

Graph each of the following rational functions by determining, if possible,

(a) the x— and y— intercepts.(b) restrictions.(c) equation(s) ofthe vertical asymptote(s). Test the behaviour around the asymptote(s).(d) equation ofthe horizontal asymptote. Test the behaviour around the asymptote.(e) Other information.(0 State the Domain and Range.

i) f(x) =

x2 +ii) f(x) =

_3x2iii) f(x) = iv) f(x) =

x -

x—l x—4 x+1 x+l

v) f(x) = vi) f(x) = vii) f(x) =X + 1

2viii) f(x) =

(x2_i) x +9 2+x—x x —4

. I \ —2x2 I \ x2+4x+6ix) fx)= ,, x) fx)=

xL+4 x+3

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