that the logar log x, and f(x) = In x have in common and the attributes that make them different. Attributes should include domain, range, end behavior, asymptotes, intercepts, intervals where the functions are positive and where they are negative, intervals where the functions are increasing and where they are decreasing, and the average rate of change on an (H) - log x interval. Function (N)- log. (N) (N) - In x {ww>o} Domain Range {y1 0
that the logar log x, and f(x) = In x have in common and the attributes that make them different. Attributes should include domain, range, end behavior, asymptotes, intercepts, intervals where the functions are positive and where they are negative, intervals where the functions are increasing and where they are decreasing, and the average rate of change on an (H) - log x interval. Function (N)- log. (N) (N) - In x {ww>o} Domain Range {y1 0
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Describe The Attributes that the logarithmic functions
Transcribed Image Text:2. Describe the attributes that the logarithmic functions f(x) = log,x, f(x) = log x, and
f(x) = In x have in common and the attributes that make them different. Attributes
should include domain, range, end behavior, asymptotes, intercepts, intervals where
the functions are positive and where they are negative, intervals where the functions
are increasing and where they are decreasing, and the average rate of change on an
interval.
(x) - log x
(N) - In x
Function
(x)
log, (x)
{> 아
Domain
{r1 0 <y<=}
Range
As x +0o, f() too.
As x 0+, fx) -o.
End behavior
Vertical and
horizontal
Vertical asymptote at
*- O; no horizontal
asymptote
asymptotes
Intervals where
Increasing throughout
its domain
Increasing or
decreasing
x-intercept at (1, 0);
no y-intercepts
Intercepts
Intervals where
positive or
negative
Positive on (1, +o)
negative on (0, 1)
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