The domain of the piecewise function is ( - co, co). -5x if x50 a. Graph the function. f ( x ) = b. Use your graph to determine the function's range. - 2 if x > 0 a. Choose the correct graph below. O A. O B. O c. OD. Ay y Ay + Ay 10 X X X X T10 b. The range of f(x) is (Type your answer using interval notation, set notation, and the union operator as needed.)Begin by graphing f(x) = In x. Use transformations of this + graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and range. g(x) = In (x +4) X 10 -8 64 -2 2 . . . Graph g(x) = In (x + 4). Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph the function. Click to enlarge graph What is the vertical asymptote of g(x)? (Type an equation.) What is the domain of g(x) = In (x + 4)? (Simplify your answer. Type your answer in interval notation.)Given the function f(x) = 2x - 5. (a) Find f- 1. (b) Graph f and f in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of f and f. (a) The inverse function is f(x) =. (Use integers or fractions for any numbers in the expression.) (b) Choose the correct graph which shows f(x) and f (x) graphed in the same coordinate system. The graph of f(x) is shown as a solid line and the graph of f" (x) is shown as a dotted line. O A. O B. O c. OD. Ay Ay A (c) State the domain and range of f(x) using interval notation. The domain of f(x) is , and the range of f(x) is State the domain and range of f(x) using interval notation. The domain of f (x) is , and the range of f(x) is.Use the graph of the rational function MY + to complete the following statement. 3 As X - - co, f(X) - X As X - - 00, f(X) -Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. x+ 3 x +5