Question

If the base is greater than 0 but less than 1, then the graph will show exponential decay.

True

False

Answer 1

If the base, b, is greater than 1, then the function increases exponentially at a growth rate of b. This is known as exponential growth.
If the base, b, is less than 1 (but greater than 0) the function decreases exponentially at a rate of b. This is known as exponential decay.
If the base, b, is equal to 1, then the function trivially becomes y=a .
If the base, b, is equal to 1, then the function trivially becomes y=a .


Source: Boundless. “Basics of Graphing Exponential Functions.” Boundless Algebra. Boundless, 21 Jul. 2015. Retrieved 02 Mar. 2016 from https://www.boundless.com/algebra/textbooks/boundless-algebra-textbook/exponents-and-logarithms-5/graphing-exponential-functions-36/basics-of-graphing-exponential-functions-170-5884/