Check if $y=4$ is a horizontal to $f\left(x\right)=\frac{4x^2-2x+1}{x-1}$

Check if $y=1$ is an asymptote to $f\left(x\right)=\frac{2x^3-5x^2+1}{x^2+1}$

Determine if y=3 is a horizontal asymptote to the curve of $f\left(x\right)=\frac{4x^2-2x+1}{x-1}$

Check if $y=-1$ is an oblique asymptote to $\frac{x^3-2x^2+3}{x+1}$

Check if $y=-3x$ is an oblique asymptote to $f\left(x\right)=\frac{3x^2+4x-2}{x}$

Determine if $y=-2x+3$ is an oblique asymptote to the curve of $f\left(x\right)=\frac{4x^2-2x+3}{x}$

Determine if $y=5$ is a horizontal asymptote to the curve of $f\left(x\right)=\frac{5x^2+2x+1}{x^2+3}$

Determine if $y=0$ is a horizontal asymptote to the curve of $f\left(x\right)=\frac{2x^3-x^2+1}{x^2+1}$

Check if y=2x-1 is an oblique asymptote to $f\left(x\right)=\frac{2x^2+x+3}{x}$ ?

Determine if $y=2$ is a horizontal asymptote to the curve of $f\left(x\right)=\frac{3x^2+2x-1}{x-2}$