Start with the graph of y = ex. a) Describe a sequence of transformations that results in the graph of y = f(x); b) Find the range of f(x); c) Find the horizontal asymptote of the graph of f.f(x) = ex/3 - 2

A. a) The graph of y = ex is compressed vertically by a factor of 3 and shifted up two units.
b) (2, ?)
c) y = 2
B. a) The graph of y = ex is compressed horizontally by a factor of 3 and shifted down two units.
b) (-2, ?)
c) y = -2
C. a) The graph of y = ex is stretched horizontally by a factor of 3 and shifted down two units.
b) (-2, ?)
c) y = -2
D. a) The graph of y = ex is stretched horizontally by a factor of 3 and shifted up two units.
b) (2, ?)
c) y = 2


Answer: C

Mathematics

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