1. Choose a trigonometric function f(x) and a polynomial function g(x) of at least degree 2. a) Write an equation for f(x) + g(x). State the domain, range and intercepts of the function. b) Construct a graph for f(x) g(x). State the domain, range and intercepts of the function. c) Determine the domain and any vertical asymptotes of f(x)/g(x). 2. 3) Determine functions flx) and g(x) such that (f+g)(x) is even. b) Determine functions f(x) and g(x) such that (fg)(x) is odd. c) Determine functions x) and g(x) such that f(x) - g(x) is periodic