# Unit 11: Rational Functions

Essential Questions:
• When we find the variable in the denominator, what are the fundamental differences with other functions that we should be aware of?
• How are rational functions related to the parent function of 1/x?
• Why are there restrictions placed on rational functions?
• What does end behavior mean?
Content:
• Definition of rational function: r(x) = p(x)/q(x), where p and q are polynomials.
• Review operations on rational expressions (addition, subtraction, multiplication, and division).
• Simplifying complex fractions.
• Recognize and find the domain, range, and zeroes of a rational function.
• Recognize the difference between the vertical and horizontal (if present) asymptotes, and be able to find them.
• Long division of polynomials.
• Find the slant asymptote of a rational function when it has one.
Skills and Processes:
• Simplifying rational expressions.
• Graphing Rational Functions (domain, range, asymptotes, zeroes, end behavior).
• Long division of polynomials
• Transformations on 1/x