For the graph of the function ƒ(x) = 3x – 1 + 2, find each transformation, stretch, compression and/or reflection of the function ƒ from its base graph, g(x) = 3x. Also find the domain D, the range R, and the asymptote of the graph of ƒ. a. right 1, up 2 D: (–∞, ∞) R: (2, ∞) y = 2 b . left 1, up 2 D: (–∞, ∞) R: (2, ∞) y = 2 c. right 1, up 2 D: (–∞, ∞) R: (1, ∞) y = 1 d. left 2, up 1 D: (–∞, ∞) R: (1, ∞) y = 1
For the graph of the function ƒ(x) = 3x – 1 + 2, find each transformation, stretch, compression and/or reflection of the function ƒ from its base graph, g(x) = 3x. Also find the domain D, the range R, and the asymptote of the graph of ƒ. a. right 1, up 2 D: (–∞, ∞) R: (2, ∞) y = 2 b . left 1, up 2 D: (–∞, ∞) R: (2, ∞) y = 2 c. right 1, up 2 D: (–∞, ∞) R: (1, ∞) y = 1 d. left 2, up 1 D: (–∞, ∞) R: (1, ∞) y = 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
For the graph of the function ƒ(x) = 3x – 1 + 2, find each transformation, stretch, compression and/or reflection of the function ƒ from its base graph, g(x) = 3x. Also find the domain D, the range R, and the asymptote of the graph of ƒ.
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a. right 1, up 2
D: (–∞, ∞) R: (2, ∞) y = 2 |
|
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b . left 1, up 2
D: (–∞, ∞) R: (2, ∞) y = 2 |
|
|
c. right 1, up 2
D: (–∞, ∞) R: (1, ∞) y = 1 |
|
|
d. left 2, up 1
D: (–∞, ∞) R: (1, ∞) y = 1 |
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