Review question

# Can we sketch this curve with an oblique asymptote? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5854

## Question

The equation of a curve is $y=f(x)$ where $f(x)=x-4-\frac{16(2x+1)^2}{x^2(x-4)}.$

1. Write down the equations of the vertical and oblique asymptotes to the curve and show that the oblique asymptote is a tangent to the curve.

2. Show that the equation $f(x)=0$ has a double root.

3. Sketch the curve.