Write rational equation based on given properties

Question

Suppose we have a rational function r(x) with the properties below.

1. x-intercepts at (2, 0), (-1, 0), and (6, 0)
2. A hole at (1, r(1)) and a vertical asymptote at x = 5and at x = 3.
3. End behavior given by:
4. Limit of x approaching infinity is 1.
5. Limit of x approaching negative infinity is also 1.

Write an equation of a rational function with such properties.

Answer 1

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