Rational function/3x^2-2x+1 over x-4/Curve behavior/Exercise

Discuss the following properties of the rational function

$f\colon D\longrightarrow \mathbb {R} ,x\longmapsto f(x)={\frac {3x^{2}-2x+1}{x-4}},$

domain, zeros, growth behavior, (local)

extrema. Sketch the graph of the function.

Create a solution