consider-the-functions-f-x-ex-and-g-x-4ex-2-apply-transformations-on-the-graph-o

Question

Consider the functions f(x) = e^x and g(x) = 4e^x/2. Apply transformations on the graph of f in constructing the graph of g. Graph the asymptotes and identify their equations. Then, use the graph to determine the domain and range of both functions.

Accepted Answer

horizontal asymptote: y = 0, domain of f: set of all real numbers, domain of g: set of all real numbers, range of f: y > 0, range of g: y > 0

Answer

horizontal asymptote: y = 0, domain of f: set of all real numbers, domain of g: set of all real numbers, range of f: y < 0, range of g: y < 0

Answer

horizontal asymptote: y = 1, domain of f: set of all real numbers, domain of g: set of all real numbers, range of f: y > 0, range of g: y > 0

Answer

horizontal asymptote: y = 2, domain of f: set of all real numbers, domain of g: set of all real numbers, range of f: y > 0, range of g: y > 0

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