*UDSKLQJ 6LPSOH 5DWLRQDO )XQFWLRQV · 2020. 12. 16. · are all nonzero real numbers. Any function of the form g(x) = g (a O) has the same asymptotes, domain, and range as the functionf(x)

Graphing Simple

Rational Functions

8.1

Write Notes

Objective: Students will graph Rational functions by finding the vertical and horizontal asymptotes

Vocabulary

Rational Function

Asymptote

End Behavior

Parent Function

 Simple Rational Function

Vertical AsymptoteIs where the function is undefined.

f(x) = 5x + 3

1.  If n 

2.  If n = m, then y = an / bm is a horizontal asymptote of the graph of R(x).

Horizontal Asymptote

Example:

3.  If n > m , the graph of R has an oblique asymptote.  End behavior found using long division.

Horizontal Asymptote

Example: