# Function and the graph

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```					                   Rational Functions – Everything you need to know to graph

Function and the graph     Real Roots: Set the       Vertical Asymptote: Set    Domain: x ≠ whatever the   Horizontal Asymptotes:
numerator equal to zero   the denominator equal to   vertical asymptote is      n < m then y = 0
f(x) = xn + xn-1 + … + a   and solve for x.          zero and solve.                                       n = m then y = the
xm +xm-1 + … + b                                                                                    leading coefficients
n > m then none
x3
f(x) =
x  5x  4
2

x 1
f(x) =
x4

x 2  3x  2
f(x) =
x5
Rational Functions – Everything you need to know to graph

Function and the graph     Real Roots: Set the       Vertical Asymptote: Set    Domain: x ≠ whatever the   Horizontal Asymptotes:
numerator equal to zero   the denominator equal to   vertical asymptote is      n < m then y = 0
f(x) = xn + xn-1 + … + a   and solve for x.          zero and solve.                                       n = m then y = the
xm +xm-1 + … + b                                                                                    leading coefficients
n > m then none
2x 2  3
f(x) =
x2  4

x3
f(x) =
x2  8

x 2  5x
f(x) =
x2
Rational Functions – Everything you need to know to graph

```
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 views: 7 posted: 4/24/2011 language: English pages: 3
Lingjuan Ma