У Ли 8. Consider the function (x) = x² − 8x³ + 18x² - 27, - and in factored form: f(x) = (x + 1)(x-3)3 a) Determine the x and y-intercepts. b) Determine the coordinates and nature of the critical points. c) Determine the intervals of increase and decrease. d) Determine the coordinates of the inflection points. e) Determine the intervals of concavity. f) Graph the function on the grid below. (Label axes appropriately)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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8. Consider the function (x) = x² − 8x³ + 18x² - 27,
-
and in factored form: f(x) = (x + 1)(x-3)3
a) Determine the x and y-intercepts.
b) Determine the coordinates and nature of the critical points.
c) Determine the intervals of increase and decrease.
d) Determine the coordinates of the inflection points.
e) Determine the intervals of concavity.
f) Graph the function on the grid below. (Label axes appropriately)
Transcribed Image Text:8. Consider the function (x) = x² − 8x³ + 18x² - 27, - and in factored form: f(x) = (x + 1)(x-3)3 a) Determine the x and y-intercepts. b) Determine the coordinates and nature of the critical points. c) Determine the intervals of increase and decrease. d) Determine the coordinates of the inflection points. e) Determine the intervals of concavity. f) Graph the function on the grid below. (Label axes appropriately)
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