Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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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.
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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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