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The table of values represents a continuous function. Which type of function describes g(x)? O Exponential O Logarithmic O Polynomial O Rational

The table of values represents a continuous function. Which type of function describes g(x)? O Exponential O Logarithmic O Polynomial O Rational

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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Question

The table of values represents a continuous function. Which type of function describes g(x)?
O Exponential
O Logarithmic
O Polynomial
O Rational

Below is a table that displays values of the function \( g(x) \) for various values of \( x \). | \( x \) | -3 | -1 | 1 | 3 | 5 | 7 | 9 | |----------|--------|--------|-----|----|----|----|----| | \( g(x) \)| 0.375 | 0.75 | 1.5 | 3 | 6 | 12 | 24 | In this table, the first row represents the values of the variable \( x \), which range from -3 to 9 in increments of 2. The second row represents the corresponding values of the function \( g(x) \). Values of \( g(x) \) appear to increase exponentially as \( x \) increases. This relationship might be explored further to understand the specific nature of \( g(x) \) in mathematical modeling or applied contexts. Understanding this data can be useful for analyzing trends and making predictions about the behavior of the function for other values of \( x \).
Transcribed Image Text:Below is a table that displays values of the function \( g(x) \) for various values of \( x \). | \( x \) | -3 | -1 | 1 | 3 | 5 | 7 | 9 | |----------|--------|--------|-----|----|----|----|----| | \( g(x) \)| 0.375 | 0.75 | 1.5 | 3 | 6 | 12 | 24 | In this table, the first row represents the values of the variable \( x \), which range from -3 to 9 in increments of 2. The second row represents the corresponding values of the function \( g(x) \). Values of \( g(x) \) appear to increase exponentially as \( x \) increases. This relationship might be explored further to understand the specific nature of \( g(x) \) in mathematical modeling or applied contexts. Understanding this data can be useful for analyzing trends and making predictions about the behavior of the function for other values of \( x \).
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