Let \(A = \{1, 2, 3, 4\}\) and \(B = \{1, 4, 7, 10, 14\}\) be two sets. Let \(f: A \rightarrow B\) be a function given by \(f(x) = 3x - 2\). Represent this function
(i) by arrow diagram
(ii) in a table form
(iii) as a set of ordered pairs
(iv) in a graphical form
Answer:
(i) An arrow diagram:
(ii) Table form:
| \(x\) | \(f(x)\) |
| \(1\) | |
| \(2\) | |
| \(3\) | |
| \(4\) |
(iii) Set of ordered pairs:
(iv) Graph:
The \(x\)-coordinates are .
The \(y\)-coordinates are .
Answer variants:
1
\(\{1, 2, 3, 4\}\)
7
10
4