Proving Exponential Growth: Equal Factors over Equal Intervals

The video tutorial explains that exponential functions grow by equal factors over equal intervals. It demonstrates this concept algebraically, showing that the growth factor is independent of specific x-coordinates. The tutorial uses graphs to illustrate exponential growth and provides a detailed proof that equal x-intervals result in equal growth factors. A specific example is used to reinforce the concept, showing how to calculate the growth factor for a given function.

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