Rational function/2x-3 over 5x^2-3x+4/Curve behavior/Exercise

Discuss the following properties of the rational function

$f\colon D\longrightarrow \mathbb {R} ,x\longmapsto f(x)={\frac {2x-3}{5x^{2}-3x+4}},$

domain, zeros, growth behavior, (local)

extrema. Sketch the graph of the function.

Create a solution