SOLVE STEP BY STEP IN DIGITAL FORMATQÝÝ»VÜ¸♥ジッッ♡웃유A A * * *0√√√! ! ?? !! ??! ¿¡ !? W X & AX X X X X6III. Consider the function f(x)= x(x-3)²a) Establish the domain of the function, and write it in interval notation b) Determine the intersections with the coordinateaxesc) Determine if the function is even, odd or neither of themd) Determine the vertical, horizontal or oblique asymptotes of the function. Set appropriate limitse) Use the first derivative to determine the intervals of increase, decrease, maximum points and minimum pointsf) Use the second derivative to determine the intervals of concavity down, concavity up and the inflection points

This is a question with multiple sub-parts so I solve the first 3 sub-parts.

III. Consider the function /(x)=x(x-3)² a) Establish the domain of the function, and write it in interval notation b) Determine the intersections with the coordinate axes c) Determine if the function is even, odd or neither of them

III. Consider the function /(x)=x(x-3)² a) Establish the domain of the function, and write it in interval notation b) Determine the intersections with the coordinate axes c) Determine if the function is even, odd or neither of them

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 58E

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Question

SOLVE STEP BY STEP IN DIGITAL FORMAT
QÝÝ»
VÜ¸♥
ジッッ♡
웃유
A A * * *
0
√√√
! ! ?? !! ??! ¿¡ !? W X & A
X X X X X
6
III. Consider the function f(x)= x(x-3)²
a) Establish the domain of the function, and write it in interval notation b) Determine the intersections with the coordinate
axes
c) Determine if the function is even, odd or neither of them
d) Determine the vertical, horizontal or oblique asymptotes of the function. Set appropriate limits
e) Use the first derivative to determine the intervals of increase, decrease, maximum points and minimum points
f) Use the second derivative to determine the intervals of concavity down, concavity up and the inflection points

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