Select all of the following tables which could represent a linear function. U 8 0 5 10 15 X 0 5 10 15 8 0 5 10 15 x 5 10 20 25 f(x) -4 11 26 41 h(x) 8 33 108 233 g(x) 8 -12 -32 -52 k(x) 17 37 77 97 Question Help: Video
Select all of the following tables which could represent a linear function. U 8 0 5 10 15 X 0 5 10 15 8 0 5 10 15 x 5 10 20 25 f(x) -4 11 26 41 h(x) 8 33 108 233 g(x) 8 -12 -32 -52 k(x) 17 37 77 97 Question Help: Video
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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![### Select all of the following tables which could represent a linear function.
**Table 1: \( f(x) \)**
\[
\begin{array}{c|c}
x & f(x) \\
\hline
0 & -4 \\
5 & 11 \\
10 & 26 \\
15 & 41 \\
\end{array}
\]
**Table 2: \( h(x) \)**
\[
\begin{array}{c|c}
x & h(x) \\
\hline
0 & 8 \\
5 & 33 \\
10 & 108 \\
15 & 233 \\
\end{array}
\]
**Table 3: \( g(x) \)**
\[
\begin{array}{c|c}
x & g(x) \\
\hline
0 & 8 \\
5 & -12 \\
10 & -32 \\
15 & -52 \\
\end{array}
\]
**Table 4: \( k(x) \)**
\[
\begin{array}{c|c}
x & k(x) \\
\hline
5 & 17 \\
10 & 37 \\
20 & 77 \\
25 & 97 \\
\end{array}
\]
**Question Help:** [Video](#)
### Explanation
To determine if a function is linear, check if there is a constant rate of change (slope) between consecutive points for each table.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde6df6d8-6ecf-4d7b-aeaf-d315b444ddfd%2Fe9fec578-1018-49d5-9ef4-79ba0fa2ad41%2F0c2f79r_processed.png&w=3840&q=75)
Transcribed Image Text:### Select all of the following tables which could represent a linear function.
**Table 1: \( f(x) \)**
\[
\begin{array}{c|c}
x & f(x) \\
\hline
0 & -4 \\
5 & 11 \\
10 & 26 \\
15 & 41 \\
\end{array}
\]
**Table 2: \( h(x) \)**
\[
\begin{array}{c|c}
x & h(x) \\
\hline
0 & 8 \\
5 & 33 \\
10 & 108 \\
15 & 233 \\
\end{array}
\]
**Table 3: \( g(x) \)**
\[
\begin{array}{c|c}
x & g(x) \\
\hline
0 & 8 \\
5 & -12 \\
10 & -32 \\
15 & -52 \\
\end{array}
\]
**Table 4: \( k(x) \)**
\[
\begin{array}{c|c}
x & k(x) \\
\hline
5 & 17 \\
10 & 37 \\
20 & 77 \\
25 & 97 \\
\end{array}
\]
**Question Help:** [Video](#)
### Explanation
To determine if a function is linear, check if there is a constant rate of change (slope) between consecutive points for each table.
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