F\left(x ight)=\frac{2x^{2}}{x^{2}-1}

NOTE: Using the information obtain from following the guidelines, draw the graph

Make sure you

• sketch the asymptotes as dashed lines
• plot the intercepts, maximum and minimum points and inflection points
• make the curve pass through these points rising and falling, with concavity, and approaching to the asymptotes.

If additional accuracy is desired near any point, you can compute the value of the derivative there. The tangent indicates the direction in which the curve proceeds.