Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Problem Statement:**
5. Find the logarithmic function of the form \( y = \log_a(x) \) whose graph is given below.
**Graph Explanation:**
- The graph is a plot of the function \( y = \log_a(x) \).
- The x-axis ranges from 0 to 5, while the y-axis ranges from -1 to 1.
- The curve is in red, starting from the lower left and moving upwards to the right.
- A point is marked on the graph at the coordinates (4, 1/2).
**Task:**
Determine the base \( a \) of the logarithmic function so that it represents the graph accurately.
**Answer:**
\[ f(x) = \underline{\qquad} \]
(Note: The box is left empty for users to calculate and fill in the base \( a \) based on the provided point (4, 1/2) on the graph.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F076cf337-ca04-4cd7-8e92-fdbadf0d0ca6%2Fe7d94c45-2416-4a50-8c8e-902eace1236b%2Fj36yxqa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
5. Find the logarithmic function of the form \( y = \log_a(x) \) whose graph is given below.
**Graph Explanation:**
- The graph is a plot of the function \( y = \log_a(x) \).
- The x-axis ranges from 0 to 5, while the y-axis ranges from -1 to 1.
- The curve is in red, starting from the lower left and moving upwards to the right.
- A point is marked on the graph at the coordinates (4, 1/2).
**Task:**
Determine the base \( a \) of the logarithmic function so that it represents the graph accurately.
**Answer:**
\[ f(x) = \underline{\qquad} \]
(Note: The box is left empty for users to calculate and fill in the base \( a \) based on the provided point (4, 1/2) on the graph.)
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