Back to Table of Contents
Exponential Growth
Summary
The content delves into the patterns of exponential growth, highlighting how the size of powers changes with increasing exponents across different types of bases.
- Exponential growth varies significantly with the base value; bases greater than one grow larger at an accelerating rate.
- Bases less than one but greater than zero decrease towards zero as exponents increase, showcasing rapid diminution.
- Negative bases less than negative one exhibit an alternating pattern of positive and negative values with increasing absolute size.
- Negative fractions between zero and negative one approach zero with alternating positive and negative values, getting progressively smaller.
- The impact of increasing exponents on the power's size is contingent on the base's value, influencing whether the power gets bigger, smaller, or alternates in sign.
Chapters
00:48
Positive Bases Greater Than One
01:54
Positive Bases Less Than One
03:03
Negative Bases Less Than Negative One
04:37
Negative Fractions Between Zero and Negative One
