Bell Ringer  1. In a rational function, what restricts the domain (hint: see the 1 st Commandment of Math).  2. What are asymptotes?  3. When dealing.

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Presentation transcript:

Bell Ringer  1. In a rational function, what restricts the domain (hint: see the 1 st Commandment of Math).  2. What are asymptotes?  3. When dealing with rational expressions, since they are simply fractions with letters, we always _______ to see if anything can cancel out.

Graphing Rational Functions Monday, March 21, 2016

Steps for Graphing Rational Functions  1. Find any holes  2. Find the vertical asymptote  3. Find any zeros  4. Find the y-intercept (if any)  5. Find the horizontal or oblique asymptote  6. Sketch the graph  7. Identify the domain and range

Graphing Rational Functions

 Remember:  1. IF it makes the denominator zero, it can not be in the domain.  a) If the factor is only in the denominator, it’s a vertical asymptote.  b) If the factor is in both the numerator and the denominator, it’s a hole aka discontinuous point.  2. Determine the horizontal asymptote by comparing the degree of the numerator and the denominator.  a) numerator bigger, y = 0  b) equal, y = leading term numerator/leading term denominator  c) denominator bigger, no horizontal asymptote (you have an oblique one) – end behavior is leading term numerator/leading term denominator

Practice  Classwork: Investigating Rational Functions  Homework: Graphing Rational Functions

Exit Ticket  1. How does the 1st Commandment of Math help you determine the vertical asymptote?  2. How do you determine the horizontal asymptote?  3. When will you have a “hole” in a graph?