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)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
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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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