Definition |
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In an Increasing function, as the value of increases the value of increases. |
Let be a real valued function and be the domain, then is said to be:
- Increasing on if for all .
- Strictly increasing on if for all .
Explanation
Consider the graph on the right side of the page. Observe that as we move from left to right along the graph, the height of the graph continuously increases. For this reason, the function is said to be increasing for all real numbers .