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**Question 14: Which table describes an exponential function?** **Table a:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 8 | 16 | 24 | 32 | **Table b:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 4 | 8 | 16 | 32 | **Table c:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 1 | 4 | 9 | 16 | **Table d:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 2 | 4 | 6 | 8 | **Explanation:** In mathematical terms, an exponential function is identified by an equation of the form \( y = a \cdot b^x \), where \( a \) is a constant, \( b \) is the base of the exponent (b > 0 and \( b \neq 1 \)), and \( x \) is the exponent. Among the tables provided, the table that follows an exponential pattern is Table b, where the ratio between successive y-values remains constant (multiplication by 2): 4 to 8, 8 to 16, 16 to 32.

**Question 14: Which table describes an exponential function?** **Table a:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 8 | 16 | 24 | 32 | **Table b:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 4 | 8 | 16 | 32 | **Table c:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 1 | 4 | 9 | 16 | **Table d:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 2 | 4 | 6 | 8 | **Explanation:** In mathematical terms, an exponential function is identified by an equation of the form \( y = a \cdot b^x \), where \( a \) is a constant, \( b \) is the base of the exponent (b > 0 and \( b \neq 1 \)), and \( x \) is the exponent. Among the tables provided, the table that follows an exponential pattern is Table b, where the ratio between successive y-values remains constant (multiplication by 2): 4 to 8, 8 to 16, 16 to 32.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question 14: Which table describes an exponential function?** **Table a:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 8 | 16 | 24 | 32 | **Table b:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 4 | 8 | 16 | 32 | **Table c:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 1 | 4 | 9 | 16 | **Table d:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 2 | 4 | 6 | 8 | **Explanation:** In mathematical terms, an exponential function is identified by an equation of the form \( y = a \cdot b^x \), where \( a \) is a constant, \( b \) is the base of the exponent (b > 0 and \( b \neq 1 \)), and \( x \) is the exponent. Among the tables provided, the table that follows an exponential pattern is Table b, where the ratio between successive y-values remains constant (multiplication by 2): 4 to 8, 8 to 16, 16 to 32.
Transcribed Image Text:**Question 14: Which table describes an exponential function?** **Table a:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 8 | 16 | 24 | 32 | **Table b:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 4 | 8 | 16 | 32 | **Table c:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 1 | 4 | 9 | 16 | **Table d:** | x | 1 | 2 | 3 | 4 | |---|---|---|----|----| | y | 2 | 4 | 6 | 8 | **Explanation:** In mathematical terms, an exponential function is identified by an equation of the form \( y = a \cdot b^x \), where \( a \) is a constant, \( b \) is the base of the exponent (b > 0 and \( b \neq 1 \)), and \( x \) is the exponent. Among the tables provided, the table that follows an exponential pattern is Table b, where the ratio between successive y-values remains constant (multiplication by 2): 4 to 8, 8 to 16, 16 to 32.
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