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## Homework Statement

I was giving a graph of a combined function and four different equations and I need to select 2 of the equations and whether the graph shown is of addition, subtraction, multiplication or division. F(X)= X and H(X) = COS X and the combined graph is F(X)*H(X).

I need to justify my answer using

**key features of the graph as related to the initial functions**

**My attempt:**

I could easily tell in my head that the graph shown on my paper was of X*cosX, but I'm just not sure how to explain it using the key features (domain, range, x and y ints, etc.). Essentially, I have to explain why I chose those two functions and why I chose multiplication.

- The new function is oscillating, which is why cos X is one of the functions.

- There are no asymptotes

What else can I say? Thanks in advance.