MA19.PRE.1

Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.1
Define the constant e in a variety of contexts.

Unpacked Content

Knowledge

Students know:

Exponential forms y=a-b^x and y=A0e^k-x.
b must be nonnegative.
A is the initial value.
If b>1, the function models exponential growth.
If 0

Skills

Students are able to:

Use natural exponential functions to describe the growth of natural phenomena.
Use natural logarithm models to describe the time needed for the growth of natural phenomena.

Understanding

Students understand that:

ln(x) gives the time needed to grow x.
E^x gives the amount of growth after the time x.

Vocabulary

Continuous
Explore
Behavior
Applications

COS Examples

Example: the total interest earned if a 100% annual rate is continuously compounded.

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