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) = -4e2 - 5x - 2
A. a) The graph of y = ex is compressed horizontally by a factor of , reflected in the y-axis, shifted
unit to the left, stretched vertically by a factor of 4, reflected in the x-axis, and shifted up two units.
b) (-?, 2)
c) y = 2
B. a) The graph of y = ex is compressed horizontally by a factor of , reflected in the y-axis, shifted
units to the right, stretched vertically by a factor of 4, reflected in the x-axis, and shifted down two units.
b) (-?, -2)
c) y = -2
C. a) The graph of y = ex is compressed horizontally by a factor of , shifted
unit to the left, stretched vertically by a factor of -4, and shifted down two units.
b) (-2, ?)
c) y = -2
D. a) The graph of y = ex is compressed horizontally by a factor of , reflected in the y-axis, shifted
unit to the right, stretched vertically by a factor of 4, reflected in the x-axis, and shifted down two units.
b) (-?, -2)
c) y = -2
Answer: D
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A.
B.
C.
D.
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