Graphing and Transformations of Rational Functions Refresher

What is the form of a rational function?

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

The horizontal asymptote of the function $$f(x) = \frac{a}{x-h} + k$$ is at $$y =$$ ________.

What is the horizontal asymptote of the reciprocal function $$f(x) = \frac{1}{x}$$ ?

What does $$|a| > 1$$ indicate about the graph of $$f(x) = \frac{a}{x-h} + k$$ ?

What is the graph of $$f(x) = \frac{1}{x}$$ known as?

What is the range of $$f(x) = \frac{1}{x}$$ in interval notation?

Fill in the blank: The domain of the function $$f(x) = \frac{1}{x+3} - 2$$ is all real numbers except ____.

What is the range of the function $$f(x) = \frac{-2}{x-2} + 4$$ ?

What is the first step in graphing the function $$f(x) = \frac{1}{x+3} - 2$$ ?