**Composition of Functions**

This problem type sets up a list of functions (which get chosen at random) with each function having random coefficients. Sage calculates the composition of functions in creating the answer for us.

CompFcn (.tex)

**Sketching Rational Functions 1:**

Sketch a hyperbola, determine its domain, range as well as the horizontal and vertical asymptotes.

Download the file: RationalFcn1 (.tex)

**Sketching Rational functions 2: **Sketch a rational function that has two vertical, asymptotes and no holes. Find the domain.

Download the file: RationalFcn2 (.tex)

**Sketching Rational functions 3: **Sketch a rational function that has two vertical asymptotes, nonzero horizontal asymptote, and no holes. Find the domain.

Download the file: RationalFcn3 (.tex)

**Sketching Rational functions 4: **Sketch a rational function that has two vertical asymptotes, nonzero horizontal asymptote, and 1 hole.

Download the file: RationalFcns4 (.tex)