What is a sum of monomials

Basically a polynomial. A monomial can also be known as a term, so a sum of it is adding terms together.

Example:
5xy^2 — Monomial
5xy^2 - 3x + 5y^3 - 2 — Sum of monomials, aka polynomial

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Horizontal asymptote at  tells us that the original graph has been translated down.since  ,  are positive.  also we can say that the point  has a smaller  -coordinate than  .this means that the  transformed exponential function is increasing as it goes to the right. as it goes from  to , the value of the exponential function increases. it goes from to something bigger, . therefore, as  . the left hand would be the side that approaches the horizontal asymptote.so the answer is d