8 Consider the function.1f(x) =1хx - 8Identify the domain of f.(Give your answer as an interval in the form (*, *). Use the symbol o for infinity, U for combining intervals, and an appropriatetype of parentheses "(",")", "[", or "]" depending on whether the interval is open or closed. Enter Ø if the interval is empty.Express numbers in exact form. Use symbolic notation and fractions where needed.)domain of f:(-0,0) υ (0,8) υ ( 8,c0 )Identify the transition points of f.(Give your answer in the form of a comma-separated list when needed. Express numbers in exact form. Use symbolic notationand fractions where needed. Enter DNE if no such x-value exists.)f has a local maximum at x =f has a local minimum at x =f has a point of inflection at x =Identify the asymptotes of f.(Give your answer as a comma-separated list of equations. Express numbers in exact form. Use symbolic notation and fractionswhere needed. Let y = f(x) and give any asymptotes in the form of an equation in terms of x and y. Enter DNE if no suchasymptote exists.)vertical asymptote(s):horizontal asymptote(s):

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f has a local maximum at x = f has a local minimum at x = f has a point of inflection at x = Identify the asymptotes of f

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 17E

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Question

Consider the function.
1
f(x) =
1
х
x - 8
Identify the domain of f.
(Give your answer as an interval in the form (*, *). Use the symbol o for infinity, U for combining intervals, and an appropriate
type of parentheses "(",")", "[", or "]" depending on whether the interval is open or closed. Enter Ø if the interval is empty.
Express numbers in exact form. Use symbolic notation and fractions where needed.)
domain of f:
(-0,0) υ (0,8) υ ( 8,c0 )
Identify the transition points of f.
(Give your answer in the form of a comma-separated list when needed. Express numbers in exact form. Use symbolic notation
and fractions where needed. Enter DNE if no such x-value exists.)
f has a local maximum at x =
f has a local minimum at x =
f has a point of inflection at x =
Identify the asymptotes of f.
(Give your answer as a comma-separated list of equations. Express numbers in exact form. Use symbolic notation and fractions
where needed. Let y = f(x) and give any asymptotes in the form of an equation in terms of x and y. Enter DNE if no such
asymptote exists.)
vertical asymptote(s):
horizontal asymptote(s):

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