Exponential Growth occurs when the base b is greater than 1.
Reference: McDougal Littell, Algebra 2, pg. 478
Growth is what we think of when we say something is growing exponentially.[br]- When we take the exponent of a number greater than 1, that number is multiplied by itself the number of times the exponent specifies.[br]- Explore - Multiply a number less than 1 by itself several times. What happens to the result?
Hint: If they are multiplying a number greater than 1 exponentially, you should be able to observe exponential growth very quickly.
https://www.geogebra.org/tbrzezinski
- Move base slider around[br]- Note how the graph is manipulated mainly when the base is greater than 1.[br]