Let \(f: A \rightarrow B\) be a function defined by \(f(x) = \frac{x}{3} - 1\), where \(A = \{5, 10, 15, 25, 30\}\), \(B = \{0, 1, 2, 4, 5, 9\}\). Represent \(f\) by
(i) set of ordered pairs
(ii) a table
(iii) an arrow diagram
(iv) a graph
Answer:
(i) The set of ordered pairs are:
(ii) A table:
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\(x\)
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\(f(x)\)
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\(5\)
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\(0\)
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\(1\)
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\(15\)
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\(4\)
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\(30\)
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(iii) an arrow diagram:
The arrow diagram represent an .
(iv) A graph:
The \(x\)-coordinates are .
The \(y\)-coordinates are