Rational Function

What is the domain of the rational function $$f\left(x\right)=\frac{1}{x-2}$$ ?

Which of the following is a vertical asymptote of the rational function $$g\left(x\right)=\ \frac{x^2-4}{x+2}$$ ?

What is the horizontal asymptote of the rational function $$h\left(x\right)=\frac{2x^3-5x^2+3}{x^3+x^2-2x}$$ ?

If the graph of a rational function crosses the x-axis at $$x=3$$ and $$x=-1$$ , what can be said about the function?

What is the degree of the numerator in the rational function $$R\left(x\right)=\frac{3x^4+2x^3-5x^2+7}{2x^2-1}$$ ?

Which of the following is a possible hole in the graph of the rational function $$S\left(x\right)=\frac{x^2-4}{x+2}$$ ?

What is the slant (or oblique) asymptote of the rational function $$T\left(x\right)=\frac{3x^2+2x-5}{x+1}$$ ?

When simplifying a rational function, what is the first step to find the vertical asymptotes?

What is a rational function?

What is the horizontal asymptote of the rational function $$f\left(x\right)=\frac{3x^2+2x-1}{x^2-4}$$ ?