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3.3: Basic Exponential Functions

Difficulty Level: At Grade Created by: CK-12
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Vocabulary

e

e is an irrational number that is approximately equal to 2.71828. As n \rightarrow \infty, \left(1+ \frac{1}{n}\right)^n \rightarrow e.

Average rate of change

The average rate of change of a function is the change in y coordinates of a function, divided by the change in x coordinates.

e

e is an irrational number that is approximately equal to 2.71828. As n \rightarrow \infty, \left(1+ \frac{1}{n}\right)^n \rightarrow e.

Exponential Decay Function

An exponential decay function is a specific type of exponential function that has the form y=ab^x, where a>0 and 0<b<1.

Exponential Function

An exponential function is a function whose variable is in the exponent. The general form is y=a \cdot b^{x-h}+k.

Exponential growth

Exponential growth occurs when a quantity increases by the same proportion in each given time period.

Exponential Growth Function

An exponential growth function is a specific type of exponential function that has the form y=ab^x, where h=k=0, a>0, and b>1.

Function families

Function families are groups of functions with similarities that make them easier to graph when you are familiar with the parent function, the most basic example of the form.

Function Family

Function families are groups of functions with similarities that make them easier to graph when you are familiar with the parent function, the most basic example of the form.

Half-life

Half-life refers to the time required for a radioactive material to decay to one-half of its initial concentration.

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