When is a function bounded below?

The video tutorial explains the concepts of bounded and unbounded graphs. It starts with the idea of an absolute minimum, where a graph is bounded below, meaning it cannot go lower than a certain point. The tutorial then discusses graphs that are bounded above, using quadratics as an example, where the graph only reaches as high as the vertex, which is an absolute maximum. It contrasts this with unbounded graphs, like cubics, which have no restrictions on how high or low they can go. Finally, it summarizes the concepts of bounded above and below, emphasizing the restrictions on graph behavior.

What characteristics define an unbounded graph?

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In what scenarios would a graph be considered bounded above and below?

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