Which of the following statements is TRUE regarding the function f (x) = log2 (x+ 4) + 3? O A. There is a vertical asymptote at x = -4 and the end behavior can be described as x +0, f(x) - -o and as x -4, f(x) → -∞. B. There is a vertical asymptote at x = -4 and the end behavior can be described as x - +0, f(x) - +0 and as x - -4, f(x) - -00. O C. There is a horizontal asymptote at y = 3 and the end behavior can be described as x- +∞, f(x) - +o and as x - -oo, f(x) - 3. O D. There is a horizontal asymptote at y = 3 and the end behavior can be described as x - +∞, f(x) - +o and as x - -oo, f(x) - -4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 47E
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Which of the following statements is TRUE regarding the function f (x) = log2(x+ 4) + 3?
O A. There is a vertical asymptote at x = -4 and the end behavior can be described as x +∞,
f(x) -o and as x -4, f(x) → -∞.
B. There is a vertical asymptote at x = -4 and the end behavior can be described as x - +0,
f(x) - +0 and as x - -4, f(x) - -∞.
O C. There is a horizontal asymptote at y = 3 and the end behavior can be described as x - +∞, f(x) - +0 and as x - -oo, f(x) - 3.
O D. There is a horizontal asymptote at y = 3 and the end behavior can be described as x - +∞, f(x) - +∞ and as x - -o, f(x) - -4.
Transcribed Image Text:Which of the following statements is TRUE regarding the function f (x) = log2(x+ 4) + 3? O A. There is a vertical asymptote at x = -4 and the end behavior can be described as x +∞, f(x) -o and as x -4, f(x) → -∞. B. There is a vertical asymptote at x = -4 and the end behavior can be described as x - +0, f(x) - +0 and as x - -4, f(x) - -∞. O C. There is a horizontal asymptote at y = 3 and the end behavior can be described as x - +∞, f(x) - +0 and as x - -oo, f(x) - 3. O D. There is a horizontal asymptote at y = 3 and the end behavior can be described as x - +∞, f(x) - +∞ and as x - -o, f(x) - -4.
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