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In this paper we study rational functions of the form $ R_{n,a,c}(z) = z^n +\dfrac{a}{z^n} + c, $ with $n$ fixed and at least $3$, and hold either $a$ or$c$ fixed while the other varies. We locate some homeomorphic copies of theMandelbrot set in the $c$-parameter plane for certain ranges of $a$, as well asin the $a$-plane for some $c$-ranges.  We use techniques first introduced by Douady and Hubbard, that were appliedfor the subfamily $R_{n,a,0}$ by Robert Devaney. These techniques involvepolynomial-like maps of degree two.

The Boundedness Locus and baby Mandelbrot sets for some generalized McMullen maps