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Precalculus: Homework 4.2 Notes
Precalculus: Homework 4.2 Notes
14
Mathematics
Undergraduate 1
10/28/2015

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Term
An exponential function with a negative exponent...
Definition
The Graph Flips Across the Y-Axis in which as y approaches zero as x approaches infinity
Term
y=log(b)x Is Equivalent To...
Definition
x=b^y
Term
log(a)a^x = ...
Definition
x
Term
Define the Inverse Property of Logarithm Exponents
Definition
If a>0 and a does not equal one, then
a^(log(a)^x)=x for x>0.
Term
Define The Domain of A Function
Definition
The largest set of real numbers that results in real numbers as outputs.
Term
The domain of y=logx is...
Definition
(0,infinity)
Term
How to find the Domain of A Logarithm Function In the Form:
f(x)=log(a)sqrtx+b
Definition
1.) Take x+b and make it x+b>0
2.) Solve for x in x+b>0
3.) Your Domain:
(Your Solution for x+b>0, Infinity)
Term
How to find the Domain of A Logarithm Function In the Form:
f(x)=log(a)x+b
Definition
1.) Take x+b and make it x+b>0
2.) Solve for x in x+b>0
3.) Your Domain:
(Your Solution for x+b>0, Infinity)
Term
Define The Range of A Set
Definition
All Output Values
Term
If the graph decreases indefinitely as x-values get smaller, and the graph increases indefinitely as x-values get larger then the range is...
Definition
(-infinity, infinity)
Term
Every logarithm of the form:
y=log(a)x
Has a Vertical Asymptote of...
Definition
x=0
Term
How to find the Vertical Asymptote of A Logarithm Function In the Form:
f(x)=log(a)x+b
Definition
1.) Take x+b and make it x+b>0
2.) Solve for x in x+b>0
3.) Your Vertical Asymptote:
Your Solution for x+b>0
Term
Define Common Logarithm
Definition
log(10)x=logx
Term
Define Natural Logarithm
Definition
log(e)x=lnx
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