Real Function/Examples/Arbitrary Function 1
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Example of Real Function
Let $f$ denote the real function defined as follows:
- $\map f x = \begin {cases} 2 & : 0 \le x \le 1 \\ \sqrt x & : 2 \le x \le 3 \end {cases}$
Thus the domain of $f$ is seen to be:
- $\Dom f = \closedint 0 1 \cup \closedint 2 3$
Sources
- 1963: Morris Tenenbaum and Harry Pollard: Ordinary Differential Equations ... (previous) ... (next): Chapter $1$: Basic Concepts: Lesson $2 \text B$: The Meaning of the Term Function of One Independent Variable: Example $2.21$