• Graph a transformation ofor .
• Given the graph of a rational function, describe the behavior of the rational function near its vertical asymptote using limit statements.
• Given the graph of a rational function, describe the end behavior of the rational function using limit statements.
• Find the domain of a rational function from its formula. Express the domain in interval notation.
• From the rational functions formula, identify these key features of the graph:
  • x and y intercepts
  • location of holes
  • equations of vertical asymptotes
  • equations of horizontal asymptotes
• Perform a sign analysis on a rational function given its formula. Hint: Make a table and find extra points if needed.
• Graph a rational function given its formula.
• Find the equation of a slant asymptote by doing polynomial long division.
• Change rational functions from expanded form to factored form. Basically, factor. The factoring will be like that done in the classwork and notes.
• Solve a rational inequality using a sign analysis. This will include some algebra steps to put the rational inequality in the required form.
• Solve a rational equation to answer a question in the context of a rational model.
• Interpret a horizontal asymptote in the context of a rational model.