Sagetex: Functions

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.

CompFcnbCompFcn (.tex)

Sketching Rational Functions 1:

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

RationalFcn1

Download the file: RationalFcn1 (.tex)

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

RationalFcn2

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.

RationalFcn3

Download the file: RationalFcn3  (.tex)

Sketching Rational functions 4: Sketch a rational function that has two vertical asymptotes, nonzero horizontal asymptote, and 1 hole.RationalFcns4

Download the file: RationalFcns4 (.tex)

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