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The tables below show the values of four different functions for given values of x. f(x) g(x) h(x) k(x) 12 -1 9. -2 2 19 2 1 2 12 2 4 3 26 3 17 3 14 4 33 13 4 24 4 28 Which table represents a linear function?

The tables below show the values of four different functions for given values of x. f(x) g(x) h(x) k(x) 12 -1 9. -2 2 19 2 1 2 12 2 4 3 26 3 17 3 14 4 33 13 4 24 4 28 Which table represents a linear function?

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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### Linear Function Identification The tables below show the values of four different functions for given values of \( x \). #### Table 1: Function \( f(x) \) | \( x \) | \( f(x) \) | |--------|----------| | 1 | 12 | | 2 | 19 | | 3 | 26 | | 4 | 33 | #### Table 2: Function \( g(x) \) | \( x \) | \( g(x) \) | |--------|-------------| | 1 | -1 | | 2 | 1 | | 3 | 5 | | 4 | 13 | #### Table 3: Function \( h(x) \) | \( x \) | \( h(x) \) | |--------|----------| | 1 | 9 | | 2 | 12 | | 3 | 17 | | 4 | 24 | #### Table 4: Function \( k(x) \) | \( x \) | \( k(x) \) | |--------|-------------| | 1 | -2 | | 2 | 4 | | 3 | 14 | | 4 | 28 | ### Question: Which table represents a linear function? ### Explanation: In mathematics, a linear function is a function whose graph is a straight line. This means the rate of change between \( x \) and \( f(x) \) is constant. - For \( f(x) \): - \( f(x) = 12, 19, 26, 33 \) - The difference between successive values is constant: \( 19-12 = 7 \), \( 26-19 = 7 \), \( 33-26 = 7 \) - For \( g(x) \): - \( g(x) = -1, 1, 5, 13 \) - The differences are: \( 1-(-1) = 2 \), \( 5-1 = 4 \), \( 13-5 = 8 \) (not constant) - For \( h(x) \): - \( h(x) = 9, 12, 17
Transcribed Image Text:### Linear Function Identification The tables below show the values of four different functions for given values of \( x \). #### Table 1: Function \( f(x) \) | \( x \) | \( f(x) \) | |--------|----------| | 1 | 12 | | 2 | 19 | | 3 | 26 | | 4 | 33 | #### Table 2: Function \( g(x) \) | \( x \) | \( g(x) \) | |--------|-------------| | 1 | -1 | | 2 | 1 | | 3 | 5 | | 4 | 13 | #### Table 3: Function \( h(x) \) | \( x \) | \( h(x) \) | |--------|----------| | 1 | 9 | | 2 | 12 | | 3 | 17 | | 4 | 24 | #### Table 4: Function \( k(x) \) | \( x \) | \( k(x) \) | |--------|-------------| | 1 | -2 | | 2 | 4 | | 3 | 14 | | 4 | 28 | ### Question: Which table represents a linear function? ### Explanation: In mathematics, a linear function is a function whose graph is a straight line. This means the rate of change between \( x \) and \( f(x) \) is constant. - For \( f(x) \): - \( f(x) = 12, 19, 26, 33 \) - The difference between successive values is constant: \( 19-12 = 7 \), \( 26-19 = 7 \), \( 33-26 = 7 \) - For \( g(x) \): - \( g(x) = -1, 1, 5, 13 \) - The differences are: \( 1-(-1) = 2 \), \( 5-1 = 4 \), \( 13-5 = 8 \) (not constant) - For \( h(x) \): - \( h(x) = 9, 12, 17
### Function List 1. \( f(x) \) 2. \( g(x) \) 3. \( h(x) \) 4. \( k(x) \) This list represents four different mathematical functions. Each function is indicated by a unique letter and the variable \( x \). Functions are essential in various fields of mathematics and are used to establish relationships between different quantities.
Transcribed Image Text:### Function List 1. \( f(x) \) 2. \( g(x) \) 3. \( h(x) \) 4. \( k(x) \) This list represents four different mathematical functions. Each function is indicated by a unique letter and the variable \( x \). Functions are essential in various fields of mathematics and are used to establish relationships between different quantities.
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