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2. A) With the function f (x) = log2 ×. Uses the reciprocal properties of a function to trace the graphs of f-1 ans fin the same Cartesian plane provided. B) The graph of the function g (x) = log2 (x + 3) + 1 can be sketched from the graph of the function f (x) - log2 x. Explains the transformations that must be subjected to the graph of f(x) to obtain that of g (x). C)Sketch the graph of g (x) = log2 (x + 3) + 1 in the Cartesian plane provided in 2. a). Indicates the domain, image and equation of the vertical asymptote of g (x).

2. A) With the function f (x) = log2 ×. Uses the reciprocal properties of a function to trace the graphs of f-1 ans fin the same Cartesian plane provided. B) The graph of the function g (x) = log2 (x + 3) + 1 can be sketched from the graph of the function f (x) - log2 x. Explains the transformations that must be subjected to the graph of f(x) to obtain that of g (x). C)Sketch the graph of g (x) = log2 (x + 3) + 1 in the Cartesian plane provided in 2. a). Indicates the domain, image and equation of the vertical asymptote of g (x).

Advanced Engineering Mathematics
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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2. A) With the function f (x) = log2 ×. Uses the reciprocal properties of a function to trace the graphs of f-1 ans fin the same Cartesian plane provided. B) The graph of the function g (x) = log2 (x + 3) + 1 can be sketched from the graph of the function f (x) - log2 x. Explains the transformations that must be subjected to the graph of f(x) to obtain that of g (x). C)Sketch the graph of g (x) = log2 (x + 3) + 1 in the Cartesian plane provided in 2. a). Indicates the domain, image and equation of the vertical asymptote of g (x).
Transcribed Image Text:2. A) With the function f (x) = log2 ×. Uses the reciprocal properties of a function to trace the graphs of f-1 ans fin the same Cartesian plane provided. B) The graph of the function g (x) = log2 (x + 3) + 1 can be sketched from the graph of the function f (x) - log2 x. Explains the transformations that must be subjected to the graph of f(x) to obtain that of g (x). C)Sketch the graph of g (x) = log2 (x + 3) + 1 in the Cartesian plane provided in 2. a). Indicates the domain, image and equation of the vertical asymptote of g (x).
L -10 -8 -6 -4 -2 8 6 2- -2- -4 -6 B -- -10 2 4 6 8 10X
Transcribed Image Text:L -10 -8 -6 -4 -2 8 6 2- -2- -4 -6 B -- -10 2 4 6 8 10X
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