# 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=3, x= -4, and the horizontal asymptote y= -3. The graph also has an x-intercept of -2, and it passes point (0,1).

The equation for f(x) has one of the five forms shown in the photo. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form.

## Tutor Answer

## Review from our student for this Answer

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors