**Title: Understanding the Features of Logarithmic Functions****Question:**What are the features of the function \( f(x) = 2 \log_3 (x + 7) \) graphed below?**Graph Description:**The graph displays the function \( f(x) = 2 \log_3 (x + 7) \). The x-axis ranges from approximately -12 to 12, and the y-axis ranges from -4 to 12. The graph shows a logarithmic curve starting from a point near the vertical line at \( x = -7 \), extending upward and to the right. The curve is steepest near \( x = -7 \) and gradually flattens as it moves to the right.**Key Features:**- **Vertical Asymptote:** The graph has a vertical asymptote at \( x = -7 \). This is because the logarithmic function is undefined for values of \( x + 7 \leq 0 \).- **Domain:** The domain of the function is \( x > -7 \).- **Range:** The range of the function is all real numbers, \( y \in \mathbb{R} \).- **Behavior:** As \( x \) approaches -7 from the right, the value of the function \( f(x) \) decreases towards negative infinity. As \( x \) increases, the function value \( f(x) \) increases without bound.- **Transformations:** The function includes a horizontal shift left by 7 units and a vertical stretch by a factor of 2 due to the coefficient in front of the logarithm.Understanding these features helps in analyzing the behavior of logarithmic functions and their transformations.

Answered: Image /qna-images/answer/59ce7bcd-67e1-47c6-bf43-1e0757fa7cce.jpg

Oct 11, 3:54:57 PM What are the features of the function f(x) = 2logg (x + 7) graphed below? 12 11 10 The function f(x) is 9 8 7 6 5 4 2 1 -12-11-10-9-8-76-5-4-3-2-1₁ -2 -3 1 2 3 4 5 6 7 8 9 10 11 12 -8 -9 -10 -11 -12 function with al asymptote of

Oct 11, 3:54:57 PM What are the features of the function f(x) = 2logg (x + 7) graphed below? 12 11 10 The function f(x) is 9 8 7 6 5 4 2 1 -12-11-10-9-8-76-5-4-3-2-1₁ -2 -3 1 2 3 4 5 6 7 8 9 10 11 12 -8 -9 -10 -11 -12 function with al asymptote of

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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