Question

Can you please help me complete this problem the asymptotes need to be labeled and dotted lines

Answer 1

Explanations:

According to the question, we are to plot the graph of the function shown below:

`y=(2x^2-5x+2)/(x^2-4)`

Simplify the function to have:

`\begin{gathered} y=(2x^2-4x-x+2)/((x+2)(x-2)) \\ y=(2x(x-2)-1(x-2))/((x+2)(x-2)) \\ y=\frac{2x-1}{x+2_{}} \end{gathered}`

Graphing the simplified form of the expression as shown:

The black vertical line represents the vertical asymptotes while the red horizontal line represents the horizontal asymptotes