# Writing the equation of a rational function given its graph

**Question description**

The figure below shows the graph of a rational function *f *with vertical asymptotes x=4, x= -5, and horizontal asymptote y= -2. The graph also has an x-intercept of 1, and it passes through the point (-2, 1). The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form.

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