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) = 4e2x - 1 + 9
A. a) The graph of y = ex is compressed horizontally by a factor of 2, shifted 1 unit to the right, stretched vertically by a factor of 4, and shifted up nine units.
b) (9, ?)
c) y = 9
B. a) The graph of y = ex is compressed horizontally by a factor of , shifted
unit to the right, stretched vertically by a factor of 4, and shifted up nine units.
b) (9, ?)
c) y = 9
C. a) The graph of y = ex is compressed horizontally by a factor of , shifted
unit to the right, stretched vertically by a factor of 4, and shifted down nine units.
b) (-9, ?)
c) y = -9
D. 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 up nine units.
b) (9, ?)
c) y = 9
Answer: B
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A. =
;
= ex/y
;
=
= -ex/y
B. =
;
=
;
=
=
C. =
;
= -ex/y
;
=
= ex/y
D. =
;
= ex/y
;
=
= -ex/y
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A. 20 B. 211 C. 19 D. 212
If , find
.
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