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Chapter 7 Algebra 2

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Section 1

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exponential growth function

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Algebra Math

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Mar 14, 2020

Cards (12)

Section 1

(12 cards)

exponential growth function

Front

When a>0, b>0, the function y=ab^x is an exponential growth function with growth factor b.

Back

common logarithm

Front

a logarithm with base 10.

Back

exponential decay function

Front

When a>0 and 0<b<1, the function y=ab^x is an exponential decay function with decay factor b.

Back

natural logarithm

Front

A logarithm with base e. Usually denoted by ln.

Back

exponential function

Front

a function of the form y=ab^x, where a does not equal 0, b>0, and b does not equal 1.

Back

logarithmic equation

Front

An equation that involves a logarithm of a variable expression.

Back

growth factor

Front

The quantity b in the exponential growth function y=ab^x with a>0 and b>1.

Back

logarithm of y with base b

Front

Let b and y be positive numbers and b doesn't equal 1. The logarithm of y with base b, denoted log<b>y and read "log base b of y" is defined as follows: log<b>y=x if and only if b^x=y.

Back

natural base e

Front

irrational, defined as follows: as n approaches +∞, (1+1/n)^n, about 2.72

Back

exponential equation

Front

An equation in which a variable expression occurs as an exponent.

Back

asymptote

Front

a line that a graph approaches more and more closely.

Back

decay factor

Front

The quantity b in the exponential decay function y=ab^x with a>0 and 0<b<1.

Back