Graphing and Transformations of Rational Functions Refresher

What is the form of a rational function?

• f(x) = p(x) + q(x)

• f(x) = p(x) \times q(x)

• f(x) = p(x) - q(x)

An asymptote is a line that a graph approaches but never ________.

• A) touches

• B) crosses

• C) meets

• D) intersects

• A) Vertical stretch

• B) Vertical compression

• C) Horizontal stretch

• D) Horizontal compression

• Parabola

• Hyperbola

• Ellipse

• Circle

• All real Numbers except y=0

• All real Numbers expect x=0

• x = -3

• x = 3

• x = 2

• x = -2

• All real numbers

• All real numbers except y = 4

• All real numbers except y = -4

• All real numbers except y = 2

• Determine the x and y Asymptotes

  (Vertical and Horizontal Asymptotes)

• Graph both Asymptotes

• Calculate the y-values

• List the Domain and Range