Exercises: Graph Rational Functions

Work through each section in order. Show your work where indicated. Factor all rational expressions completely before identifying key features.

Grade 9·20 problems·~30 min·Common Core Math - HS Functions·standard·hsf-if-c-7d

Work through problems with immediate feedback

Fluency Practice

For $h(x) = \frac{2x}{(x+1)(x-3)}$ , which statement about vertical asymptotes is correct?

There are no vertical asymptotes.

Vertical asymptote at $x = 0$ only.

Vertical asymptotes at $x = -1$ and $x = 3$ ; the graph approaches but never crosses these lines.

Vertical asymptotes at $x = -1$ and $x = 3$ ; the graph may cross these lines.